{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成训练样本\n",
    "n_dots = 40\n",
    "X = 5 * np.random.rand(n_dots, 1)\n",
    "y = np.cos(X).ravel()\n",
    "\n",
    "# 添加一些噪声\n",
    "y += 0.2 * np.random.rand(n_dots) - 0.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 训练模型\n",
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "k = 5\n",
    "knn = KNeighborsRegressor(k)\n",
    "knn.fit(X, y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9823932837572384"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 生成足够密集的点并进行预测\n",
    "T = np.linspace(0, 5, 500)[:, np.newaxis]\n",
    "y_pred = knn.predict(T)\n",
    "knn.score(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1152x720 with 0 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x121c4f8d0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11e56cd30>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "(-0.25, 5.25, -1.1464806385561077, 1.206354161887134)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'KNeighborsRegressor (k = 5)')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAB1gAAAScCAYAAAAmmF0GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvqOYd8AAAIABJREFUeJzs3Xm4X1V9L/73goBmIKiQEEgoKAmDsXVKUdveqxVqBrAGrvVXJ+jgALZp9WqtWmux1da2toWmQoterUOl1V4MVgJRQaqtIkRafxolhFSqBEISEMgk47p/7H3MMZ7he07O+Z7p9Xqe77Nz9t5r7c937508D7zPWqvUWgMAAAAAAADA4A4a6wIAAAAAAAAAJgoBKwAAAAAAAECHBKwAAAAAAAAAHRKwAgAAAAAAAHRIwAoAAAAAAADQIQErAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAhwSsAAAAAAAAAB0SsAIAAAAAAAB0SMAKAAAAAAAA0CEBKwAAwABKKc8rpdRSym0j3O8Fbb9/P4y2v9K2vW4ka4LxoJRyfvt+//5++09v9986VrWNpVLKwaWUTaWU+0spc8a6HgAAmMoErAAAwKgqpfz9YGFgKWVuKeXr7Xn3lFJ+utex29r9tZTyl4Nc6/b2vF8ZuW9AN5RSruv1nHs+j5ZS7iul/Ecp5c9LKceOdZ2MrlLKjCTvSHJfkr8e43JGRSnl3/p41/f/XLh/u1rrI0nek+SwJL/X9cIBAIAfErACAABjqpRydJLrkvxUku1Jfr7WemM/p59fSpnfrdpae5JsTLK5y9edqn6Q5K72c3eaMOlpSd6U5JullJ8bw9oYfW9IMi/J39Ra7xvrYkbZfdn3ru//ub+fNh9J8t0k55VSjutGkQAAwI8TsAIAAGOmHZH4xSSnJLkzyXNrrV8foMljk7y9G7X1qLXeUGs9udZ6WjevO4X9U611XvuZk2RGkpemCVtnJ/l4KeUxY1oho6KUMi3JqiQ1yfvHuJxu+M1e7/r+n3f01aDW+lCakPUxSV7X1WoBAIAfErACAABjopTyxDTh6sIk30sTrn57gCZXtdtfb9syBdRaf1Br/cckv9XuOjbJz49hSYyeFyY5Ksn1tdb/HutixrHL2u05bSgNAAB0mYAVAADoulLKiWnC1eOTfCfJ/6y1bhqk2aeT3JDkkCQXHMC1X1hKuaKUsrWU8mApZVsp5V9KKUv7Of957ZqItw3Q57mllK+WUna3a8h+oZRyZnusZw3Z5w1SV08fO0sp97d9/EKH3+ncUsr1bbv7SinXlFKWDdLmMaWU/91e875Syt5SysZSyl+WUub10+ZXeq+nW0p5eSnlX0spd7f7V/Y697mllH9u18V9sL3GplLKmlLKa0spQ/3v0c/2+vOTB/heh5ZSfqtd5/KeUsoD7TP4P6WUkwa6QCnlRe33ub/9fKWU8sr2WM+6ma/Yr82r2v2fb39+ZSnli73uyZn7nX9YKeXtpZT1ve77LaWUi/qb/rqUclAp5Vfbd+LuUspDpZTtpZQN7fd6QR9tTiil/F17z/e27+ZtbR9vKaUc0c+1TiulfKrX34+tpZTL+3t/SynTyr51QxeUUhaXUj7SPveHSin/PNA938+vtttPDKFN71qWtt+zllLeNZw+JoJa67eSbEgzlfLyMS4HAACmJL/pCAAAdFUpZXGSz6cJB25Jclqt9fYOm789TdD28lLKn9Rabx7CdQ9J8qEkL++1+/4kc5KcmeTMUsqf1Vp/t9M+237fn+RV7Y+PJnkwyXOTPK+U8voO+/hAkl9P8kiS3Wmmwn1ekv9ZSnlJrfX/DtD2r5K8vr32/UkOT/L8JM8vpfxOrfW9fbSZk2Rdkqe3ux5o6z6x/fxKKWVFrfX6Aa7712mmc300zVqSj/Y69pokf9fr9D1JDk4zWnlhkhcl+XCa9VY7VXr9+eB+apqfZqTzT7a7HmmvfVySX0vy0lLKL9daP91H2wuS/EH7Y22/06lJnl1K+amOCizl4iTnZ989qfsdX9zWd2y76+E0935R+3lFKeWMPu77ZUle0uvn+9I85yPThM0npVcAXUr56STXJpnV7nqovc5x7ed5Sdan+XvYu773JOl5/3vuwdwkZyU5q5Tyrlrr7w9wC56X5NIk09O8i48McO6PKKUcnH0jk/+903a92r84yT8kOTTJm2utfz7UPiaYf0+yOMkLkvzLGNcCAABTjhGsAABA15RSnprkujTh6oY00wJ3Gq6m1vq5JP+aJmD7wyFe/s/ShKu3pgmrZtVaD08TZr4uyc4kby6lvLTTDkspv5p94eqfJHlCrfXxab7f/0ny52kC3IG8qK3r/CSz25qelGaE70FJVpf+pwF9eppw9U97XXt+mqApSf6slPJzfbT7SNv2+2nuxcxa6+wkP53kG0ken2RNKeXIfq77zCS/mSaQPKLW+oS2zZdLKTOS/EV73geT/EStdWatdVaSI9KMuLssvQLZDvUepflf+x8spRyaZpTzTyb5XJLnJJnefq/5Sf46TfD38VLK8fu1/YXsC1c/kOSo9l4ekeQ9Sd6U5CmD1PesJK9N80sAT+h1T77aXuPx2Reu/mOSn0ry2Pa+LGz3PSHJ5aWU2b1qe36aZ/RImmmSZ9daH5dmDc75aYLj/QPJv0gTrn45ydNrrYe2bWalCY0vShOA9r4Hr8i+cPWiJHPaezA3ycXt/reXUn55gHtwSZLrkyxu3+PpvfoczNPa+h5K8v932Kan9l9Lc/+mJXntBApX31JKubMdKby9lPL5dnR3J2sMr2+3/2M0CwQAAPomYAUAALrl+CRfSDPq7j+TPK/WunUY/by93b64lPK0ThqUUhYl+e0k25M8v9b6yVrr7iSpte6stV6S5DXt6b/XYZ8lyTvaH99fa31brfW+ts9ttdZXpQn6ZgzS1eOSvKrW+re11j1t++8keWmaUaVHJ/mZftrOTvKBWutbel37ziSvTHOvS/abTrmU8j+S9Ewf/NL2XjzStl2f5BfSBK9HZd+6p/ubleQ9tdY/rLXe27a9v9a6LU0QOSvNSNzX1Fq/19Oo1npPrfXqWuvLaq0PDnJfeup9bBvqXdTuujv71uPt7deSPCNNgL+i1np9rfWh9rp31Fp/O03oPTNNKN3bBe12ba311bXW7W27e2utb03y/jQjRgcyK8m7a63v7vUs7uvpK03QeGySj9VaX1pr/Uav+745ycvSjCg9uv0uPZ7dbq+qta6ute5s29T2e32oj1HXz2q3v1Vr/c+enbXW3bXWG2utr6+13tCzvzTTNf9R++PH2uN3t2121Fp/I8kn2+Pvat/9vtyZ5t5/q1eNmwe+bT90aru9pdb6QIdtUkp5Q5pQvCZ5Ra310k7b9urjXb2mOR7q5+2DX6Ffi9OE8HvS/Lt4WpK/TfLVUsqCQdp+vd3+ZPtLDQAAQBcJWAEAgG45Lk2YkCS/UWvdMZxOaq3/luTqNOFhp+ssntOe/0+9A7/9/HOaaVQXl1KO7qDPZ6QJjZNmdGxf/rSDfr6b5OP776y13pFmzdlk4NGTf9xH25pmRG3STBX8hF6HX9xu19da1/XR9q40IU/yo9PS9vZIkr/s51jPyMhD0owAHar/r133c2spZVua8Omytq8fJHl5TxC9n3Pb7YW11of76btnZO8P17YtzXqzPQF2f8/xPR3U/XCSCwc43lPfj03ZnPzwmfW8B73X3u25n0eVztet3dluO3mPk2ZE8vHtn/v7O3VBuz2hPb8vq2utQ5n2ubeeWjv+d6GU8s407+EDSc6qtV42zGvvTHLXMD+7hnG9a9P8EsS8NKOsH9f++e3td3lqkivbac3703OfDkozyhgAAOgia7ACAADd8l9pRlwemeSTpZTn1lpvHWZfb08zCvOMUspzaq1fGeT8ngDt3FLKLw1wXk+gcWya0XgD6Vm/dOsA3+P6NFOeDhSUrG/Dtb5sabeP7+f4d9vRrn35tzRB6MFppl+9tt3/jHb7hQFqujbJW5OcWEqZ2TPat5dbBwjIN7WfRUm+Ukr5mzQjTjcO8D17e2z72d9tSU7va0RkOz1wT+j3gVLK3+1/Tqtn7dZje+3rGQX9SJrn9WNqrf9VSrkjyTED1L2x1npPXwdKKU9ME6Alybr+B4Dm0D7q+1yad+ink1zbrvl7bTtSuT9r0wR4/1BKeV+SK5Lc1DOitw8978SdtdaNfZ1Qa/1WKeWuNCObn5F9U9T2Ntjfw4H0TEf9/Q7OLaWUi9KMsN6V5IW11uuGe+Fa65+ms1+GGBG11nf0se+uJO8upXwjzfP6qTTP8IP9dNP7Ph2Z5u8HAADQJUawAgAA3fK9JKenCQaOSXJNKeW44XRUa/1akk+1P3YyirVndNxhaQKi/j49/43UyZSbPYFQv0FXOw3u3YP0s3OAYz2jAfsLaLf0sz+11r3ZF8L0Xge258/9tk3Ssy5uyb7v2dv2Pvb1XPeRNNPdbkmzluxfJvl2kh2llE+WUn5xgClmk+TDtdZSay1ppvP9mTRh8PFJLm3D1P0dmX336Mj0/3x7vsuM/domyT2DTE17xwDHkgHuSX50JOlA719PkP7D+trA8zfSvAvPTfKxJHeUUv6rlHJxP9NkvzHN2q+z0wTl1ye5v5RyTbvG5/4BdifvRLLvvehvXeGB7sFgetYd7WTq6Cdl3/TVrzmQcHW8qbV+Os3auUnywgFO7T1SeProVQQAAPRFwAoAAHRNrfXrSV6Q5L4kP5FmRN78YXb3jiSPppkC9/mDnNvz3z5v6AnvBvlcN8yaJpK+Rol26pGBDrZruS5K8ookH0kzevkJaaYnviLN9KcH99/DD/vZ045OXpHkG0men74D9d7/bfuTHTzf0ZjNaaB70ru+wzqob2HvxrXW9yd5YpI3JPl0mtD+iUnOT3JTKeV39zt/e5LnJFmaZHWaNY8PTXP//jbJN0opfY3GPZB3IhnkvRhEz+jfx3Vw7pY0I7ST5E/bEcKTyVfb7ZMGOKf3qPbBfokDAAAYYQJWAACgq9rwbXmaqT2flGYk61HD6OebSf6x/fHdg5x+V7v9iaFeZwA9U+T2u85lO9pyOOuQdqrfKWvbUYo9IUzvkYU9fx7oXixotzVDWBOzt1rr3lrrP9Raz621npDmWf9J2+fyJOcNoa8fJHl9++PrSykL9ztlR5qwPRn6M+75fk8opTxmgPM6Xc+0L3f1+vOw3sFa69Za64W11helGUH67DRha0kzteyT9zu/1lo/W2v9rVrr09s25yW5N8nCJH/R6/RO3olk33txICNV+9PzHPqbDru3H6QJ3a9PM53ytaWUYwdu0r9Syu/2Wvd3qJ/XD36FUdH7Pg3r7ygAADB8AlYAAKDr2lGJZybZk+SkNCFrX1PRDuaCJA8neXYp5cwBzutZG3LZMK7Rn/9ot/NKKSf0c86zMvD6qwfquFLK8f0c+7k0a47WNCMYe9zUbp87wFS9PSOCb+lj/dVhqbV+p9b6tiT/1HP9Iba/Ns3UqYekee69j/0g+57H8iGW1nNvDk4TWv6YdoTkcEdaJ8mt2ReCDbW+H9OGp19N8r/STFF9cJrnPVCbe2qtf5dm/eLkR+9/zzsxu5TyjPShDXCP2u/8kdSz9mtHo1FrrTvT/H3+Wprpo6/tZ1RuJwabOnygz6xhXnMgz2q3/a2vnDTfOWlGr45G4A0AAAxAwAoAAIyJWuu/JlmZ5IEki5N8rpTSyei13n1sSvLh9sc/SjOary8fSRM0nlJKee1AfQ6hhv9I8t/tn9/Uzzlv7rCvA/HW/Xe0welb2h+vqbXe0+vwP7fbxUle1Efbo7JvdOknhlpMP2uk9ra33Q40WrQ/f95uf7mPUPvv2+2vl1KeMlAnvZ9xrXVr9gXwo/Ica601+97TN5dSBhr1XEoph/f6ud/7WWt9OM0vGCTt/SylHDTI9Mt93f+vZV+Y97Z+2l3Qbje354+0nnVHj+x0beZa631pphz/eppRudcOczT82zucOryvTydrQP/QIOsPp/1FkZ9pf7xygFN/ut1+uX2/AACALhKwAgAAY6bW+rk0o/AeTPK0JFeXUmYPsZs/7NW+zxFstdZvJfmr9seLSyl/Ukrpme40pZTDSikvKKV8LMknO6z90TShbpKcV0r5o57aSylzSimXplkDc88Qv89Q3J/kNaWUP+4J5Uop89KEeaelCZXfuV/dX0pydfvjB0spL+4J5Eopz0zy2TTTj96V5KJh1LSilPKVUsqrewdlpZQZpZRXJ3l5u2vdMPr+dJJb0ozY3D9YvjTJjUmmJ7mulPLrvd+lUsrRpZRXlFK+lOQ39mv7h+32zFLK35ZS5rRtDi+lvCvJa9OsG3wg/jjJbUnmJvlKe9+n96rvuFLKeWlG1L6wV7s/K6V8opTyolLKE3qdP6+U8r40U+Q+muTz7aEnJLm1lPLWUspTSikHtecfVEr5hex7Z394/9t3+ffbH/9XKeXCnmuVUo5sr/NL7fHfG41Ar9a6Lc2zTfaFh520uyfJ6Uk2pBkN//lhjobvlt8rpXyglHJ6KeWHo19LKXNLKW/Jvn9/vpV9oXxfeu7RF0epTgAAYAACVgAAYEzVWq9M8stpRuKdmmRtKWXmENp/N024Npg3J7kkzX8HvSXJ90op95VS7k0Tnq1LE/4NNPpvfx9M8qH2z29Pck8p5Z404eSrkvzv7Jsa9oEh9Nup/0hyYZqw8e722nckeWV7/M211n/ro905aYK8x6cJdHaVUu5Psj7JTyX5fpKzaq13D7OuZ6d5JreVUva0de1q9x2aZG06e2Y/og0C39vzHUopP9Hr2INpgsnr06x7+4Ek3y+l3F1K2ZXmvnw0zVS6db9+r07SMxLxtUnuamu+O8nvJfnTNAFeMszn2AaBL0gzFe5xae77zlLKjlLK3jTh6yVp7n/v+qalCTfXpHnG97XP6s4kr2vPeWut9du92hyfJtD9RpIflFJ2pPklhM+m+SWEW7PfaN1a6z+03zNJfjvJ9l7vcs913lVr/aeMnp6+zxhKo1rrjjS/UHBzkqdkGKPhu+ixSX49yeeS3F9KubeU8v009/lP2uNfT7K8fad/TPvv4/PSvCcd/UIIAAAwsgSsAADAmKu1firJK5I8kuRnk/xL79F9HXh3BhkpWmt9pNb6ujQB28fSTO/7mDSBxnfTjI78zSQvHkLdNU1Y8mtpRk8+kGaa4uuSnFFr/ZskPaMo7+3863Su1vqGJL+aZtrWaWmCzC+kCWje20+b7UmekyZkW5/koTTB56Y0ge3idp3c4bg2TcD74TQB3540a1zenSZUOifJC9vpbYfjI0m2plmL9Xd7H6i13pXm+b4yyVVpwu2e+//ttqZfyr6phnu3/f0kZyf5UpLdae7lDUleVmt9a5KeaXuH/RzbKa2fluY9u67t6/A09//rSf4uzRqtl/Vq9t40gWfP6N2S5r39bpJ/TPJztdY/63X+99MEzReleSd3tNfY3X6ftyV5eq31jj7qe0uSX2ivdXea57YjTbj7/PYejaYPpgkNV3Yw1fSPaJ/9aWnC46cl+WzvqZbHkX9K8+/VdUm+l+Y9m5EmMF+b5t+SU9tfHOnPC9s2n6+1/vcA5wEAAKOkWKoDAABgdLTrhN6aZvTgYf2NSGN8K6X0BMSHJDm21nr7GJc0aZVSrk4ztfZZtdY1Y13PeFRKuSLJLyZ5Sa3VCFYAABgDRrACAACMnje32y8KVye016cJV28Wro66P2i3bxzTKsapUspJSc5MMzr8/45xOQAAMGUJWAEAAA5AKeVDpZQXl1KO6LXviaWUi5O8pt31F2NTHZ0qpVxYSjm3lHJUr31Hl1LeneSCdlefUy4zcmqtX01yeZKfK6U8b4zLGY/elub/5bytXZMYAAAYA6YIBgAAOACllNuTzG9/3J3k0TRrV/Z4VxfWruQAlVKuT/Ks9se9aaZ17r2G54dqrb/W9cKmoHZq7VcmuanW+umxrme8KKUcnOQtSfbWWv9yrOsBAICpTMAKAABwAEopL03yoiRPT3JUkhlJtif5SpKLa63XjmF5dKiUckaSX0pyapJ5SWYluSfJjUk+WGv91BiWBwAAwDgiYAUAAAAAAADokDVYAQAAAAAAADokYAUAAAAAAADokIAVAAAAAAAAoEMCVgAAAAAAAIAOCVgBAAAAAAAAOjRtrAuYaEop30kyO8ltY1wKAAAAAAAA0Lnjk9xfa33igXQiYB262dOnT3/CKaec8oSxLgQAAAAAAADozLe//e3s3bv3gPsRsA7dbaeccsoTvva1r411HQAAAAAAAECHnvnMZ+amm2667UD7sQYrAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAhwSsAAAAAAAAAB0SsAIAAAAAAAB0SMAKAAAAAAAA0CEBKwAAAAAAAECHBKwAAAAAAAAAHRKwAgAAAAAAAHRIwAoAAAAAAADQIQErAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAhwSsAAAAAAAAAB0SsAIAAAAAAAB0SMAKAAAAAAAA0CEBKwAAAAAAAECHBKwAAAAAAAAAHRKwAgAAAAAAAHRIwAoAAAAAAADQIQErAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAhwSsAAAAAAAAAB0SsAIAAAAAAAB0SMAKAAAAAAAA0CEBKwAAAAAAAECHBKwAAAAAAAAAHRKwAgAAAAAAAHRIwAoAAAAAAADQIQErAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAh6aNdQEwHm3bvS3r71ifDds2ZO/DezN92vQsnrs4S45Zkrkz5451eQAAAAAAAIwRASu0aq1Zu2ltVt+wOus2r+v3vKUnLM2qU1dlxaIVKaV0sUIAAAAAAADGmoAVkmzdtTXnX3l+1ty8ZtBz121el3Wb12XlyStzyRmXZN6seV2oEAAAAAAAgPHAGqxMeRt3bMySS5d0FK72tubmNVly6ZJs3LFxlCoDAAAAAABgvBGwMqVt3bU1p33ktGzZuWVY7bfs3JLTP3p6tu7aOsKVAQAAAAAAMB4JWJmyaq057zPnDTtc7XH7/bfn/CvPT611hCoDAAAAAABgvBKwMmWt3bQ2V2y8YkT6WnPzmlx161Uj0hcAAAAAAADjl4CVKWv1DavHdX8AAAAAAACMPwJWpqRtu7dl3eZ1I9rn1bdene27t49onwAAAAAAAIwvAlampPV3rJ9Q/QIAAAAAADA+CFiZkjZs2zA6/W4fnX4BAAAAAAAYHwSsTEl7H947Kv3ueWjPqPQLAAAAAADA+CBgZUqaPm36qPQ745AZo9IvAAAAAAAA44OAlSlp8dzFo9PvnNHpFwAAAAAAgPFBwMqUtOSYJROqXwAAAAAAAMYHAStT0tyZc7P0hKUj2ueyhcsyZ+acEe0TAAAAAACA8UXAypS16tRV47o/AAAAAAAAxh8BK1PWikUrsvLklSPS11knn5XlC5ePSF8AAAAAAACMXwJWpqxSSi4545LMP2z+AfWzYPaCXHzGxSmljFBlAAAAAAAAjFcCVqa0ebPm5ZpzrsmC2QuG1X7B7AW55pxrMm/WvBGuDAAAAAAAgPFIwMqUd9KRJ+XGV9845OmCV568Mje++saceMSJo1QZAAAAAAAA442AFdKMZL38JZfnypddmWULlw147rKFy3Lly67M5S+53MhVAAAAAACAKWbaWBcA40UpJSsWrciKRSuyfff2rL9jfTZs35A9D+3JjENmZPGcxVlyzJLMmTlnrEsFAAAAAABgjAhYoQ9zZs7J8kXLs3zR8rEuBQAAAAAAgHHEFMEAAAAAAAAAHRKwAgAAAAAAAHRIwAoAAAAAAADQIQErAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAhwSsAAAAAAAAAB0SsAIAAAAAAAB0SMAKAAAAAAAA0CEBKwAAAAAAAECHBKwAAAAAAAAAHRKwAgAAAAAAAHRIwAoAAAAAAADQIQErAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAhwSsAAAAAAAAAB0SsAIAAAAAAAB0aFwErKWUF5dSVpdSvlRKub+UUkspHxtmXwtKKR8spdxRSnmglHJbKeXCUsrjR7puAAAAAAAAYGqZNtYFtN6e5KlJdiW5PcnJw+mklHJCki8nmZvkiiQ3Jzk1yW8nWVZK+dla690jUjEAAAAAAAAw5YyLEaxJ3pDkxCSzk5x/AP1cnCZc/a1a68pa61tqrc9P8ldJTkry7gOuFAAAAAAAAJiyxkXAWmv9Qq11U621DrePdvTqC5LcluR9+x3+gyS7k7yylDJz2IUCAAAAAAAAU9q4CFhHyM+328/WWh/tfaDWujPJvyeZkeTZ3S4MAAAAAAAAmBwmU8B6Uru9pZ/jm9rtiV2oBQAAAAAAAJiEpo11ASPo8HZ7Xz/He/Y/rpPOSilf6+fQyUMpCgAAAAAAAJg8JtMIVgAAAAAAAIBRNZlGsPaMUD28n+M9++/tpLNa6zP72t+ObH3G0EoDAAAAAAAAJoPJNIJ1Y7vtb43VRe22vzVaAQAAAAAAAAY0mQLWL7TbF5RSfuR7lVIOS/KzSfYkub7bhQEAAAAAAACTw4QLWEsph5RSTi6lnNB7f611c5LPJjk+yW/s1+ydSWYm+WitdXdXCgUAAAAAAAAmnXGxBmspZWWSle2P89rtc0opf9/+eUet9U3tn+cn+XaS/04Tpvb2uiRfTvLXpZTT2vOeleTn00wN/HujUT8AAAAAAAAwNYyLgDXJ05Kcu9++J7WfpAlT35RB1Fo3l1KWJPnDJMuSrEhyZ5KLkryz1vr9EasYAAAAAAAAmHLGRcBaa70gyQUdnntbkjLA8e8l+dWRqAsAAAAAAACgtwm3BisAAAAAAAAaHY9EAAAgAElEQVTAWBGwAgAAAAAAAHRIwAoAAAAAAADQIQErAAAAAAAAQIcErAAAAAAAAAAdErACAAAAAAAAdEjACgAAAAAAANAhASsAAAAAAABAhwSsAAAAAAAAAB0SsAIAAAAAAAB0SMAKAAAAAAAA0KFpY10AU8Ptt9+eBx98cKzLoEOHH354jjjiiLEuY1Dbdm/L+jvWZ8O2Ddn78N5MnzY9i+cuzpJjlmTuzLljXR4AAAAAADAJCVjpijPPPDNf//rXx7oMhuDJT35y3va2t+XlL3/5WJfyI2qtWbtpbVbfsDrrNq/r97ylJyzNqlNXZcWiFSmldLFCAAAAAABgMjNFMNCnb33rW3nFK16Riy66aKxL+aGtu7bm7E+cnTMvO3PAcDVJ1m1elzMvOzNnf+LsbN21tUsVAgAAAAAAk52AFRjQG9/4xtxwww1jXUY27tiYJZcuyZqb1wyp3Zqb12TJpUuyccfGUaoMAAAAAACYSgSswIAeeeSRnHPOOdm7d++Y1bB119ac9pHTsmXnlmG137JzS07/6OlGsgIAAAAAAAfMGqzAoDZu3JhXvepVWbp0adevXWvNRV+9KFvu7CNcPTjJ/CSPTzLIMqu33397zr/y/Fz+ksutyQoAAAAAAAybgBXoyMc//vF8/OMfH+sy+nZMkpcmOWzg09bcvCZX3XpVVixa0Y2qAAAAAACAScgUwcDEd0eSDyV5ZPBTV9+werSrAQAAAAAAJjEjWOmK+fPnZ9Odm7LnwT0H3NeMQ2fkqJlHjUBV7G/Lli158MEHx7qM4bknyeYkJw582tW3Xp3tu7dnzsw53agKAAAAAACYZASsdMXr/up1WXvZ2hHpa0/25G9e9jemeR0F73//+/Oa17xmrMsYvlszaMCaJOvvWJ/li5aPejkAAAAAAMDkI2ClK0Z6WtbVN6ye8gHrtt3bsv6O9dmwbUP2Prw306dNz+K5i7PkmCWZO3PusPp81atelU996lO56qqrRrjaLtnZ2Wkbtm8QsAIAAAAAAMMiYGXUbdu9Les2rxvRPqfqNK+11qzdtDarb1g94D1desLSrDp1VVYsWpFSSsf9l1LygQ98IE95ylPy/e9/fyRK7q4OA9Y9Dx34VNUAAAAAAMDUdNBYF8Dkt/6O9ROq3/Fq666tOfsTZ+fMy84cNLBet3ldzrzszJz9ibOzddfWIV3nmGOOyRe+8IUcffTRB1Lu2NjV2WkzDpkxunUAAAAAAACTlhGsjLoN2zaMTr9TaJrXjTs25rSPnJYtO7cMqd2am9fkxi035ppzrslJR57UcbunPvWp+c///M9cddVV+fKXv5y9e/cOteQRseX+Lbn2O9fu2/Fokm8O0GBXkppkkEG7i+csPvDiAAAAAACAKUnAyqjb+/DohHNTZZrXrbu2Ditc7bFl55ac/tHTc+Orb8y8WfM6bjd37tyce+65Offcc4d13ZGwbfe2HPXeo/bteDTJt9ptXx5O8kCSxw7c75JjloxIfQAAAAAAwNRjimBG3fRp00el36kwzWutNed95rxhh6s9br//9px/5fmptY5QZd0xd+bcLD1h6b4dByWZNUijQaYJXrZw2ZRbuxcAAAAAABg5AlZG3eK5ozMd61SY5nXtprW5YuMVI9LXmpvX5KpbrxqRvrpp1amrfnTHAQasP9YfAAAAAADAEAhYGXWjNR3rVJjmdfUNq8d1f92wYtGKrDx55b4dgwWsO/s/dNbJZ2X5wqmxbi8AAAAAADA6BKyMuh+b5nUETIVpXrft3pZ1m9eNaJ9X33p1tu/ePqJ9jrZSSi4545LMP2x+s2OYI1gXzF6Qi8+4OKWUEa0PAAAAAACYWgSsdMVIT8s6FaZ5XX/H+gnV72iaN2terjnnmiyYvWBYAeuC2QtyzTnXZN6seaNSHwAAAAAAMHUIWOmKH5vm9QBMlWleN2zbMDr9bh+dfkfbSUeelBtffWOeuvCpA5+4X8C68uSVufHVN+bEI04cveIAAAAAAIApQ8BKV/zYNK/DNJWmed378N5R6XfPQ3tGpd9umDdrXt5xxjsGPqkNWJctXJYrX3ZlLn/J5UauAgAAAAAAI2baWBfA1NEzzevpHz09t99/+5DbT7VpXqdPmz4q/c44ZMao9NstxxxzzIDHj592fG540w2Tfo1eAAAAAABgbBjBSlf1TPM61OmCp+I0r4vnLh6dfueMTr/dMm/ewAH77nt2C1cBAAAAAIBRI2Cl6+bNmpfLX3J5rnzZlVm2cNmA507laV6XHLNkQvXbLYMFrDt27MhDDz3UpWoAAAAAAICpxhTBjIlSSlYsWpEVi1Zk++7tWX/H+mzYviF7HtqTGYfMyOI5i7PkmCVTeiTi3Jlzs/SEpVm3ed2I9bls4bIJf08f+9jH5nGPe1zuvffePo/XWrNt27bMn39g6/0CAAAAAAD0RcDKmJszc06WL1qe5YuWj3Up486qU1eNaMC66tRVI9bXWJo3b16/AWuSbN26VcAKAAAAAACMCgErjGMrFq3IypNXZs3Naw64r7NOPivLF/54iL1t97ZmBPG2Ddn78N5MnzY9i+c2I4jnzpx7wNcdDUcffXRuvvnmfo9v3bq1i9WMjon4XAAAAAAAYCoQsMI4VkrJJWdckhu33JgtO7cMu58Fsxfk4jMuTiklSTON7tpNa7P6htUDjpBdesLSrDp1VVYsWvHDtuPBYOuw3nnnnV2qZGRN9OcCAAAAAABTwUFjXQAwsHmz5uWac67JgtkLhtV+wewFueacazJvVhNKbt21NWd/4uycedmZg04/vG7zupx52Zk5+xNnZ+uu8TMq9Oijjx7w+EQcwToZngsAAAAAAEwFAlaYAE468qTc+Oobs/LklUNqt/Lklbnx1TfmxCNOTJJs3LExSy5dMuQph9fcvCZLLl2SjTs2DqndaJlsI1gny3MBAAAAAICpQMAKE8S8WfNy+Usuz5UvuzLLFi4b8NxlC5flypddmctfcvmPjFw97SOnDXuq4S07t+T0j54+LkZMDhawTqQRrJPpuQAAAAAAwFRgDVaYQEopWbFoRVYsWpHtu7dn/R3rs2H7hux5aE9mHDIji+cszpJjlmTOzDk/0q7WmvM+c94BreOaJLfff3vOv/L8XP6Sy8d07c/JMkXwZHsuAAAAAAAwFQhYYYKaM3NOli9anuWLlg967tpNa3PFxitG5Lprbl6Tq269KisWrRiR/oZjskwRPNmeCwAAAAAATAWmCIYpYPUNq8d1f0PVyQjWWmuXqhm+yfZcAAAAAABgKhCwwiS3bfe2rNu8bkT7vPrWq7N99/YR7XMoHv/4x+eQQw7p9/jevXuzc+fOLlY0dJPxuQAAAAAAwFQgYIVJbv0d6ydUv5046KCDctRRRw14znifJngyPhcAAAAAAJgKBKwwyW3YtmF0+t0+Ov12qpNpgsezyfpcAAAAAABgshOwwiS39+G9o9Lvnof2jEq/nZo3b96Ax8f7CNbJ+lwAAAAAAGCymzbWBQCja/q06aPS74xDZoxKv50abATrV7/61Rx33HHD7v+www7LKaeckoMPPnjYfQxksj4XAAAAAACY7ASsMMktnrt4dPqdMzr9dmqwEawXXnhhLrzwwgO6xuGHH543vOENecc73pFSygH1tb/J+lwAAAAAAGCyM0UwTHJLjlkyofrt1GAB60i47777csEFF+TNb37ziPc9WZ8LAAAAAABMdgJWmOTmzpybpScsHdE+ly1cljkz54xon0M12BTBI+l973tf7r333hHtc7I+FwAAAAAAmOwErDAFrDp11bjubzi6MYK1x969e3P11VePeL+T8bkAAAAAAMBkJ2CFKWDFohVZefLKEenrrJPPyvKFy0ekrwNxyimn5NBDD+3a9W655ZYR73MyPhcAAAAAAJjsBKwwBZRScskZl2T+YfMPqJ8Fsxfk4jMuTillhCobvsMPPzxnnHFG1643GgHrZHwuAAAAAAAw2QlYYYqYN2terjnnmiyYvWBY7RfMXpBrzrkm82Z1b2rewVx00UV58pOf3JVrbdq0aVT6nYzPBQAAAAAAJrNpY10A0D0nHXlSbnz1jTn/yvOz5uY1HbdbefLKXHLGJeMuxDv22GPzpS99KR/+8Idz3XXXZdu2bcPu68EHH8xNN93U7/HRCliTyfdcAAAAAABgMiu11rGuYUIppXztGc94xjO+9rWvjXUpMGy11lx161VZfcPqXH3r1f2et2zhsqw6dVWWL1w+6aefffDBBzN9+vQ8+uij/Z6zY8eOHHHEEaNWg+cCAAAAAACj55nPfGZuuummm2qtzzyQfoxghSmolJIVi1ZkxaIV2b57e9bfsT4btm/Inof2ZMYhM7J4zuIsOWZJ5sycM9alds2hhx6a4447Lt/5znf6PeeWW27Jc57znFGrwXMBAAAAAIDxT8AKU9ycmXOyfNHyLF+0fKxLGXOLFi0aMGDdtGnTqAasvXkuAAAAAAAwPh001gUAjBcnnnjigMdHcx1WAAAAAABgYhCwArQWLVo04PFbbrmlS5UAAAAAAADjlYAVoDVYwGoEKwAAAAAAIGAFaHUSsNZau1QNAAAAAAAwHglYAVrHH398pk2b1u/xXbt25a677upiRQAAAAAAwHgjYAVoTZs2LU960pMGPMc6rAAAAAAAMLUJWAF6sQ4rAAAAAAAwEAErQC8CVgAAAAAAYCACVoBeBKwAAAAAAMBABKwAvZx44okDHrcGKwAAAAAATG0CVoBeBhvBeuutt+bRRx/tUjUAAAAAAMB4M22sCwAYT4499tg85jGPyQMPPNDn8R/84AdZuHBhDjrI76eMV/Pnz89pp52W3/md38n06dPHuhwAAAAAACYZAStALwcddFBOOOGEfOtb3+r3nO985ztdrIih2rx5c774xS/mk5/8ZK6//vrMnDlzrEsCAAAAAGASMQQLYD+DrcPKxPDNb34z73znO8e6DAAAAAAAJhkBK8B+BluHlYnjM5/5zFiXAAAAAADAJCNgBdjPySefPNYlMEI2b9481iUAAAAAADDJCFgB9vOLv/iLOfTQQ8e6DEbAgw8+mIcffnisywAAAAAAYBIRsALs58gjj8zrX//6sS6DEbJ79+6xLgEAAAAAgElEwArQh/e85z1573vfm+OOO26sS+EACVgBAAAAABhJ08a6AIDxqJSSN77xjXnjG9+YO++8U0g3jj3/+c/P9773vX6Pe3YAAAAAAIwkASvAII4++uixLoEBHH744QJWAAAAAAC6xhTBAExoM2fOHPC4gBUAAAAAgJEkYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACY0ASsAAAAAAN0kYAVgQhOwAgAAAADQTQJWACa0GTNmDHh87969efTRR7tUDQAAAAAAk52AFYAJ7eCDD85jH/vYAc/Zs2dPl6oBAAAAAGCyE7ACMOGZJhgAAAAAgG4RsAIw4QlYAQAAAADoFgErABOegBUAAAAAgG4RsAIw4QlYAQAAAADoFgErABOegBUAAAAAgG4RsAIw4QlYAQAAAADoFgErABOegBUAAAAAgG6ZNtYFADB5bNu9LevvWJ8N2zZk78N7M33a9CyeuzhLjlmSuTPnjtp1BawAAAAAAHSLgBWAA1JrzdpNa7P6htVZt3ldv+ctPWFpVp26KisWrUgpZURrELACAAAAANAtAlYAhm3rrq05/8rzs+bmNYOeu27zuqzbvC4rT16ZS864JPNmzRuxOgSsAAAAAAB0izVYARiWjTs2ZsmlSzoKV3tbc/OaLLl0STbu2DhitQhYAQAAAADoFgErAEO2ddfWnPaR07Jl55Zhtd+yc0tO/+jp2bpr64jUI2AFAAAAAKBbBKwADEmtNed95rxhh6s9br//9px/5fmptR5wTQJWAAAAAAC6RcAKwJCs3bQ2V2y8YkT6WnPzmlx161UH3I+AFQAAAACAbhGwAjAkq29YPe76E7ACAAAAANAtAlYAOrZt97as27xuRPu8+tars3339gPqQ8AKAAAAAEC3CFgB6Nj6O9aPy34HC1j37NlzQP0DAAAAAEAPASsAHduwbcPo9Lv9wPo1ghUAAAAAgG4RsALQsb0P7x2Vfvc8dGAjTAWsAAAAAAB0i4AVgI5NnzZ9VPqdcciMA2ovYAUAAAAAoFsErAB0bPHcxaPT75wD61fACgAAAABAtwhYAejYkmOWjMt+OwlYa60HdA0AAAAAAEgErAAMwdyZc7P0hKUj2ueyhcsyZ+acA+rjkEMOySGHHNLv8UcffTQPPPDAAV0DAAAAAAASASsAQ7Tq1FXjsj/TBAMAAAAA0A0CVgCGZMWiFVl58soR6eusk8/K8oXLR6QvASsAAAAAAN0gYAVgSEopueSMSzL/sPkH1M+C2Qty8RkXp5QyInUJWAEAAAAA6AYBKwBDNm/WvFxzzv9j7/5j67zrQ49/nsRuajsN21pbvqm5DGInQZ42oF4YgwuDVsR2iuT2j15UjcL+SNVseNNAQpdN+wEa8M/Vxsglube7wEbH2K2Q52w4jZGyIQZsSlyYhgxxE6Nd3SS17JatJLHTOu1z/4iDTKh9zrHPc85znvN6SZXFec75nk/pH1C/8/1+T0bPjp4Nfb5nR0+cfOhkdG/vrtpMAisAAAAAALUgsAKwIXvu2BOnD56u+Ljgkb0jcfrg6dh9++6qziOwAgAAAABQCwIrABvWvb07xh4Yi4kHJ2Kwd3Dd9w72DsbEgxMx9sBYVXeu3iCwAgAAAABQCy31HgCAxpYkSQz3Dcdw33AsXFmIqYtTMb0wHYvLi9He2h79nf0xsHMgOjs6M51DYAUAAAAAoBYEVgCqprOjM4b6hmKob+jHXp+/Mh/Hzx6P6fnpWLq2FG0tbdHfdT28dnV0VeW7BVYAAAAAAGpBYAUgE2maxvGzx+PwqcMxOTu55vv279ofo/tGY7hvOJIk2fD3CawAAAAAANSCwApA1c1dnotDE4di/Mx4yfdOzk7G5OxkjOwdiaMHjm74flaBFQAAAACAWthS7wEAKJaZZ2Zi4NGBsuLqauNnxmPg0YGYeWZmQ98rsAIAAAAAUAsCKwBVM3d5Lu7+/N1x4dKFDX3+wqULcc9j98Tc5bmKPyuwAgAAAABQCwIrAFWRpmk88uVHNhxXbzj/w/NxaOJQpGla0efa29vXfS6wAgAAAABQDQIrAFVx/OzxODZzrCprjZ8ZjyfOPVHRZ+xgBQAAAACgFgRWAKri8KnDdV1PYAUAAAAAoBYEVgA2bf7KfEzOTlZ1zRPnTsTClYWy3y+wAgAAAABQCwIrAJs2dXGq7usKrAAAAAAA1ILACsCmTc9PZ7PuQvnrCqwAAAAAANSCwArApi1dW8pk3cXlxbLfK7ACAAAAAFALAisAm9bW0pbJuu2t7WW/V2AFAAAAAKAWBFYANq2/qz+bdTvLX1dgBQAAAACgFgRWADZtYOdA3dcVWAEAAAAAqIWWeg8AQOPr6uiK/bv2x+TsZNXWHOwdjM6OzrLff+utt0aSJJGm6cs+X15eju985zvR0pLv/+lLkiRe9apXRVtbNscuAwAAAACwOfn+LTMADWN032hVA+vovtGK3p8kSXR0dMTly5fXfM/P//zPb3asmti6dWsMDw/Hpz/96XjlK19Z73EAAAAAAFjFEcEAVMVw33CM7B2pylr37b0vhnqHKv5cqWOCG8WLL74Yf/d3fxfveMc71g3GAAAAAADUnsAKQFUkSRJHDxyNO2+7c1Pr9OzoiSMHjkSSJBV/tiiB9YZz587F0aNH6z0GAAAAAACrCKwAVE339u44+dDJ6NnRs6HP9+zoiZMPnYzu7d0b+nzRAmtExNe//vV6jwAAAAAAwCoCKwBVteeOPXH64OmKjwse2TsSpw+ejt23797wd/f29m74s3m1sLBQ7xEAAAAAAFhFYAWg6rq3d8fYA2Mx8eBEDPYOrvvewd7BmHhwIsYeGNvwztUb3vWud23q83m0tLRU7xEAAAAAAFilpd4DAFBMSZLEcN9wDPcNx8KVhZi6OBXTC9OxuLwY7a3t0d/ZHwM7B6Kzo7Nq3/ne9743xsfH42//9m+rtma9LS4u1nsEAAAAAABWEVgByFxnR2cM9Q3FUN9Qpt+zZcuW+Ju/+Zv4zGc+E8eOHYvvf//7kaZppt+5WcvLyzE7O7vmc4EVAAAAACBfBFYACmXLli1x8ODBOHjwYL1HKcvCwkJ0dXWt+VxgBQAAAADIF3ewAkAdtbe3r/vcHawAAAAAAPkisAJAHbW1ta37fGlpKV566aUaTQMAAAAAQCkCKwDU0ZYtW2Lbtm3rvufq1as1mgYAAAAAgFIEVgCos1LHBLuHFQAAAAAgPwRWAKgz97ACAAAAADQOgRUA6qzUPax2sAIAAAAA5IfACgB15ohgAAAAAIDGIbACQJ0JrAAAAAAAjUNgBYA6cwcrAAAAAEDjEFgBoM7cwQoAAAAA0DgEVgCoM0cEAwAAAAA0DoEVAOpMYAUAAAAAaBwCKwDUmTtYAQAAAAAah8AKAHXmDlYAAAAAgMYhsAJAnTkiGAAAAACgcQisAFBnAisAAAAAQOMQWAGgzgRWAAAAAIDGIbACQJ2VCqxLS0s1mgQAAAAAgFIEVgCos7a2tnWf28EKAAAAAJAfAisA1JkjggEAAAAAGofACgB1JrACAAAAADQOgRUA6swdrAAAAAAAjUNgBYA6cwcrAAAAAEDjEFgBoM4cEQwAAAAA0DgEVgCoM4EVAAAAAKBxCKwAUGfuYAUAAAAAaBwCKwDUmTtYAQAAAAAah8AKAHVWTmBN07RG0wAAAAAAsB6BFQDqrLW1NVpbW9d8nqZpPP/88zWcCAAAAACAtQisAJAD7mEFAAAAAGgMAisA5IB7WAEAAAAAGoPACgA5UGoHq8AKAAAAAJAPAisA5IDACgAAAADQGARWAMgBd7ACAAAAADQGgRUAcsAdrAAAAAAAjUFgBYAccEQwAAAAAEBjEFgBIAcEVgAAAACAxiCwAkAOuIMVAAAAAKAxCKwAkAPuYAUAAAAAaAwCKwDkgCOCAQAAAAAag8AKADkgsAIAAAAANAaBFQByQGAFAAAAAGgMAisA5ECpO1iXlpZqNAkAAAAAAOsRWAEgB+xgBQAAAABoDAIrAOSAwAoAAAAA0BgEVgDIAYEVAAAAAKAxCKwAkAOlAqs7WAEAAAAA8kFgBYAcaGtrW/e5HawAAAAAAPkgsAJADjgiGAAAAACgMQisAJADAisAAAAAQGMQWAEgB9zBCgAAAADQGARWAMgBd7ACAAAAADQGgRUAcsARwQAAAAAAjUFgBYAcEFgBAAAAABqDwAoAOdDa2hpbt25d8/mLL74Yy8vLNZwIAAAAAICXI7ACQA4kSeIeVgAAAACABiCwAkBOOCYYAAAAACD/BFYAyAmBFQAAAAAg/3IVWJMk6UmS5LNJklxMkuT5JEn+LUmSTyZJ8tMVrPHVJEnSdf66Ncu/BwDYqFKBdWlpqUaTAAAAAACwlpZ6D3BDkiS7IuKbEdEVEcci4kxE7IuI34qIwSRJ3pym6bMVLPmRNV6/tqlBASAj7mAFAAAAAMi/3ATWiDgS1+Pqb6ZpevjGi0mS/HFE/HZEfCwiHil3sTRN/7DaAwJAlhwRDAAAAACQf7k4Inhl9+o7I+LfIuLTNz3+g4i4EhHvSZKko8ajAUDNCKwAAAAAAPmXlx2sb1/5+ZU0TV9a/SBN00tJknwjrgfYX4qIk+UsmCTJf42IV0fECxHxvYj4+zRNn6/eyABQXe5gBQAAAADIv7wE1j0rP59a4/nZuB5Yd0eZgTUi/vqm/zyfJMlvpGn6pQ3MBwCZcwcrAAAAAED+5SWwvmLl53NrPL/x+k+VsdaxiPjvEfHtiHg2Il4VEe+NiA9GxP9JkuRAmqYnSi2SJMmTazzaW8YMAFAxRwQDAAAAAORfXgJr1aRp+ic3vTQTEb+TJMnFiDgcEZ+IiJKBFQBqTWAFAAAAAMi/vATWGztUX7HG8xuv/8cmvuN/R8SfRMTrkiS5LU3TS+u9OU3Tu17u9ZWdrW/YxBwA8LLcwQoAAAAAkH9b6j3AipmVn7vXeN638nOtO1pLStP0akTciKodG10HALLiDlYAAAAAgPzLS2D9h5Wf70yS5MdmSpLktoh4c0QsRsQ/b/QLkiTZExE/Hdcj6zMbXQcAsuKIYAAAAACA/MtFYE3TdDYivhIRPxsRv3HT44/E9R2nj6VpeuXGi0mS7E2SZO/qNyZJ8uokSX7m5vWTJOmMiM+t/Me/TtP0WhXHB4CqEFgBAAAAAPIvL3ewRkT8ekR8MyI+lSTJ3RHxvYh4Y0S8Pa4fDfy7N73/eys/k1WvvS0i/meSJF+PiO9HxA8i4j9HxHBcv8d1KiI+lNXfAABshsAKAAAAAJB/uQmsaZrOJkkyEBEfjYjBuB5Fn46IP42Ij6Rp+u9lLPNkRPx1RNwVEa+PiB1x/Ujg70TE4xHxv9I0fSGD8QFg00oF1qWlpRpNAgAAAADAWnITWCMi0jT9fxHxa2W+N3mZ174TEe+r8lgAUBNtbW3rPreDFQAAAACg/nJxBysA4IhgAAAAAIBGILACQE4IrAAAAAAA+SewAkBOuIMVAAAAACD/cnUHKwA0s1J3sJ49ezbe9ra31Wia0rq6uuJtb3tbPPzww3HLLbfUexwAAAAAgJoQWAEgJ0rtYL169ebow90AACAASURBVGp87Wtfq9E05fnSl74Un/3sZ+NrX/tabN++vd7jAAAAAABkzhHBAJATpQJrXn3729+OD3/4w/UeAwAAAACgJgRWAMiJRg2sERFjY2ORpmm9xwAAAAAAyJzACgA5sW3btoaNrBcvXozLly/XewwAAAAAgMwJrACQE0mSxBvf+MZ6j7Fhi4uL9R4BAAAAACBzAisA5MhHP/rR2LKlMf/nWWAFAAAAAJpBY/4GFwAK6i1veUuMj4/Hzp076z1KxQRWAAAAAKAZtNR7AADgx73rXe+KAwcOxLlz5+Lpp5+u9zg/8vDDD8dTTz215nOBFQAAAABoBgIrAOTQli1bYvfu3bF79+56j/IjXV1dAisAAAAA0PQcEQwAlKW9vX3d50tLSzWaBAAAAACgfgRWAKAspQKrHawAAAAAQDMQWAGAsgisAAAAAAACKwBQJoEVAAAAAEBgBQDKJLACAAAAAAisAECZBFYAAAAAAIEVACiTwAoAAAAAILACAGUSWAEAAAAABFYAoEwCKwAAAACAwAoAlElgBQAAAAAQWAGAMgmsAAAAAAACKwBQJoEVAAAAAEBgBQDKJLACAAAAAAisAECZBFYAAAAAAIEVACiTwAoAAAAAILACAGUSWAEAAAAABFYAoEwCKwAAAACAwAoAlElgBQAAAAAQWAGAMpUTWNM0rdE0AAAAAAD1IbACAGVpbW2NlpaWNZ+/+OKLsby8XMOJAAAAAABqT2AFAMrmmGAAAAAAoNkJrABA2QRWAAAAAKDZCawAQNkEVgAAAACg2QmsAEDZBFYAAAAAoNkJrABA2QRWAAAAAKDZCawAQNkEVgAAAACg2QmsAEDZBFYAAAAAoNkJrABA2QRWAAAAAKDZCawAQNna2trWfS6wAgAAAABFJ7ACAGWzgxUAAAAAaHYCKwBQNoEVAAAAAGh2AisAUDaBFQAAAABodgIrAFA2gRUAAAAAaHYCKwBQNoEVAAAAAGh2AisAUDaBFQAAAABodgIrAFA2gRUAAAAAaHYCKwBQNoEVAAAAAGh2AisAUDaBFQAAAABodgIrAFA2gRUAAAAAaHYCKwBQNoEVAAAAAGh2AisAUDaBFQAAAABodgIrAFA2gRUAAAAAaHYCKwBQNoEVAAAAAGh2AisAUDaBFQAAAABodgIrAFC2tra2dZ8vLS3FSy+9VKNpAAAAAABqT2AFAMq2devW2LZt27rvuXr1ao2mAQAAAACoPYEVAKiIY4IBAAAAgGYmsAIAFRFYAQAAAIBmJrACABURWAEAAACAZiawAgAVEVgBAAAAgGYmsAIAFRFYAQAAAIBmJrACABURWAEAAACAZiawAgAVEVgBAAAAgGYmsAIAFRFYAQAAAIBmJrACABURWAEAAACAZiawAgAVEVgBAAAAgGYmsAIAFSkVWJeWlmo0CQAAAABA7QmsAEBF7GAFAAAAAJqZwAoAVERgBQAAAACamcAKAFREYAUAAAAAmpnACgBURGAFAAAAAJqZwAoAVERgBQAAAACamcAKAFREYAUAAAAAmpnACgBURGAFAAAAAJqZwAoAVERgBQAAAACamcAKAFREYAUAAAAAmpnACgBURGAFAAAAAJqZwAoAVERgBQAAAACamcAKAFREYAUAAAAAmpnACgBURGAFAAAAAJqZwAoAVGTbtm2RJMmaz1944YW4du1aDScCAAAAAKgdgRUAqEiSJCV3sS4tLdVoGgAAAACA2hJYAYCKOSYYAAAAAGhWLfUeAABoPKUC6xe+8IW44447ajTN+jo6OuJ1r3td7Nq1q96jAAAAAAAFILACABUrFVg/+MEP1miS8v3qr/5qHDlyJG677bZ6jwIAAAAANDCBFQCoWKnAmkd/+Zd/GVu3bo0///M/r/coAAAAAEADcwcrAFCxRgysERF/8Rd/EU8//XS9xwAAAAAAGpjACgBUrKOjo94jbNjU1FS9RwAAAAAAGpjACgBU7Od+7ufqPcKGPffcc/UeAQAAAABoYAIrAFCxd7/73bF169Z6j7EhV69erfcIAAAAAEADE1gBgIrddddd8clPfjJaWlrqPUrFlpaW6j0CAAAAANDAGu+3ogBALrz//e+Pt7/97TE+Ph5nz56Nl156qd4jRUTEk08+Gd/97nfXfC6wAgAAAACbIbACABvW398f/f399R7jx/ze7/3euoHVEcEAAAAAwGY4IhgAKJRbb7113ed2sAIAAAAAmyGwAgCF0tbWtu5zgRUAAAAA2AyBFQAoFIEVAAAAAMiSwAoAFEqpwOoOVgAAAABgMwRWAKBQ3MEKAAAAAGRJYAUACsURwQAAAABAlgRWAKBQHBEMAAAAAGRJYAUACsURwQAAAABAlgRWAKBQHBEMAAAAAGRJYAUACkVgBQAAAACyJLACAIXiDlYAAAAAIEsCKwBQKO5gBQAAAACyJLACAIXiiGAAAAAAIEsCKwBQKI4IBgAAAACyJLACAIWybdu2dZ8///zz8dJLL9VoGgAAAACgaARWAKBQtmzZUjKy2sUKAAAAAGyUwAoAFI57WAEAAACArAisAEDhuIcVAAAAAMiKwAoAFM6tt9667nM7WAEAAACAjRJYAYDCcUQwAAAAAJAVgRUAKBxHBAMAAAAAWRFYAYDCcUQwAAAAAJAVgRUAKBxHBAMAAAAAWRFYAYDCEVgBAAAAgKwIrABA4biDFQAAAADIisAKABSOO1gBAAAAgKwIrABA4TgiGAAAAADIisAKABSOI4IBAAAAgKwIrABA4TgiGAAAAADIisAKABSOI4IBAAAAgKwIrABA4QisAAAAAEBWBFYAoHDcwQoAAAAAZEVgBQAKxx2sAAAAAEBWBFYAoHAcEQwAAAAAZEVgBQAKxxHBAAAAAEBWBFYAoHAcEQwAAAAAZEVgBQAKxxHBAAAAAEBWBFYAoHAEVgAAAAAgKwIrAFA47mAFAAAAALIisAIAheMOVgAAAAAgKwIrAFA4jggGAAAAALIisAIAheOIYAAAAAAgKwIrAFA4jggGAAAAALIisAIAhVPOEcFpmtZoGgAAAACgSARWAKBwWlpaoqWlZc3naZrGCy+8UMOJAAAAAICiEFgBgEJyDysAAAAAkAWBFQAoJPewAgAAAABZEFgBgEIq5x5WAAAAAIBKCawAQCE5IhgAAAAAyILACgAUkiOCAQAAAIAsCKwAQCE5IhgAAAAAyILACgAUksAKAAAAAGRBYAUACskdrAAAAABAFgRWAKCQ3MEKAAAAAGRBYAUACskRwQAAAABAFgRWAKCQHBEMAAAAAGRBYAUACskRwQAAAABAFgRWAKCQHBEMAAAAAGRBYAUACklgBQAAAACyILACAIXkDlYAAAAAIAsCKwBQSO5gBQAAAACyILACAIXkiGAAAAAAIAsCKwBQSI4IBgAAAACyILACAIXkiGAAAAAAIAsCKwBQSI4IBgAAAACyILACAIUksAIAAAAAWRBYAYBCcgcrAAAAAJAFgRUAKCR3sAIAAAAAWRBYAYBCckQwAAAAAJAFgRUAKCRHBAMAAAAAWRBYAYBCckQwAAAAAJAFgRUAKCRHBAMAAAAAWRBYAYBCElgBAAAAgCwIrABAId1yyy2RJMmaz69duxbXrl2r4UQAAAAAQBEIrABAISVJUvIe1qtXr9ZoGgAAAACgKARWAKCwHBMMAAAAAFSbwAoAFFapwGoHKwAAAABQKYEVACisUkcE28EKAAAAAFRKYAUACssRwQAAAABAtQmsAEBhCawAAAAAQLUJrABAYbmDFQAAAACoNoEVACgsd7ACAAAAANUmsAIAheWIYAAAAACg2gRWAKCwHBEMAAAAAFSbwAoAFJYjggEAAACAahNYAYDCckQwAAAAAFBtLfUeAAAgK6UC6yc+8Yn4zGc+8xOvt7e3x+tf//r4wAc+EK95zWuyGg8AAAAAaEACKwBQWKWOCL548WJcvHjxZZ9985vfjM997nMxMTERv/Irv5LBdAAAAABAI3JEMABQWKV2sJayuLgY73nPe2J5eblKEwEAAAAAjU5gBQAKa7OBNSLi/Pnz8S//8i9VmAYAAAAAKAJHBAMAhXXHHXdUZZ2nnnoqfvEXf7Eqa1Vq/sp8TF2ciun56Vi6thRtLW3R39UfAzsHoqujqy4zAQAAAEAzE1gBgML65V/+5aqss7S0VJV1ypWmaRw/ezwOnzock7OTa75v/679MbpvNIb7hiNJkhpOCAAAAADNyxHBAEBh9fX1xcGDBze9Ti0D69zlubj/8fvj3i/eu25cjYiYnJ2Me794b9z/+P0xd3muRhMCAAAAQHMTWAGAQvvUpz4VH/7wh2Pbtm0bXmNxcbGKE61t5pmZGHh0IMbPjFf0ufEz4zHw6EDMPDOT0WQAAAAAwA0CKwBQaLfeemt8/OMfj0uXLsV3v/vd+Na3vvUTfz388MPrrlGLHaxzl+fi7s/fHRcuXdjQ5y9cuhD3PHaPnawAAAAAkDF3sAIATaG1tTVe+9rXvuyzV7/61et+NusdrGmaxiNffmTDcfWG8z88H4cmDsXYA2PuZAUAAACAjNjBCgA0vba2tnWfZ72D9fjZ43Fs5lhV1ho/Mx5PnHuiKmsBAAAAAD/JDlYAoOm1t7ev+zzrHayHTx2u+nrDfcNVXRMAAABoXPNX5mPq4lRMz0/H0rWlaGtpi/6u/hjYORBdHV31Hg8ajsAKADS9eu5gnb8yH5Ozk1Vd88S5E7FwZSE6Ozqrui4AAADQONI0jeNnj8fhU4fX/d3D/l37Y3TfaAz3DbtyCMrkiGAAoOnVcwfr1MWphloXAAAAyL+5y3Nx/+P3x71fvLfkH+yenJ2Me794b9z/+P0xd3muRhNCYxNYAYCmV2oHa5aBdXp+Opt1F7JZFwAAAMi3mWdmYuDRgRg/M17R58bPjMfAowMx88xMRpNBcQisAEDTK7WDNcsjgpeuZbP24nK298YCAAAA+TN3eS7u/vzdceHShQ19/sKlC3HPY/fYyQolCKwAQNOr5xHBbS3r757dqPbW9f+eAAAAgGJJ0zQe+fIjG46rN5z/4fk4NHEo0jSt0mRQPAIrAND0Sh0RnOUO1v6u/mzW7cxmXQAAACCfjp89HsdmjlVlrfEz4/HEuSeqshYUkcAKADS9eu5gHdg50FDrAgAAAPl0+NThXK8HRSKwAgBNr547WLs6umL/rv1VXXOwdzA6OzqruiYAAACQX/NX5mNydrKqa544dyIWrixUdU0oCoEVAGh69dzBGhExum801+sBAAAA+TZ1caqh1oVGJ7ACAE2vnB2saZpm9v3DfcMxsnekKmvdt/e+GOodqspaAAAAQGOYnp/OZt2FbNaFRiewAgBNr7W1NbZu3brm8xdffDGWl5cz+/4kSeLogaNx5213bmqdnh09ceTAkUiSpEqTAQAAAI1g6Vo21xstLmd7qhc0KoEVAGh6SZLU9R7WiIju7d1x8qGT0bOjZ0Of79nREycfOhnd27urPBkAAACQd20t6/9eY6PaW9e/VgmalcAKABD1v4c1ImLPHXvi9MHTFR8XPLJ3JE4fPB27b9+d0WQAAABAnvV39Wezbmc260Kja6n3AAAAeVDvHaw3dG/vjrEHxuKJc0/E4VOH48S5E2u+d7B3MEb3jcZQ71AujwWevzIfUxenYnp+OpauLUVbS1v0d/XHwM6B6Oroqvd4AAAAUBgDOwcaal1odAIrAEDkYwfrDUmSxHDfcAz3DcfClYXrkXJhOhaXF6O9tT36O69Hys6OzprNVK40TeP42eNx+NThmJydXPN9+3ftj9F9ozHcN5zLOAwAAACNpKujK/bv2r/uv4tXarB3MJe/e4A8EFgBACJfgXW1zo7OGOobiqG+obp8fyXmLs/FoYlDMX5mvOR7J2cnY3J2Mkb2jsTRA0fdHQsAAACbNLpvtKqBdXTfaNXWgqJxBysAQOTniOBGNfPMTAw8OlBWXF1t/Mx4DDw6EDPPzGQ0GQAAADSH4b7hGNk7UpW17tt7Xwz15v8Pe0O9CKwAAJHfHayNYO7yXNz9+bvjwqULG/r8hUsX4p7H7om5y3NVngwAAACaR5IkcfTA0bjztjs3tU7Pjp44cuCIK31gHQIrAEDYwbpRaZrGI19+ZMNx9YbzPzwfhyYORZqmVZoMAAAAmk/39u44+dDJ6NnRs6HP9+zoiZMPnXSVD5QgsAIAhB2sG3X87PE4NnOsKmuNnxmPJ849UZW1AAAAoFntuWNPnD54uuLjgkf2jsTpg6dj9+27M5oMikNgBQAIO1g36vCpw7leDwAAAJpR9/buGHtgLCYenIjB3sF13zvYOxgTD07E2ANjdq5CmVrqPQAAQB7YwVq5+SvzMTk7WdU1T5w7EQtXFqKzo7Oq6wIAAECzSZIkhvuGY7hvOBauLMTUxamYXpiOxeXFaG9tj/7O/hjYOeDfwWEDchNYkyTpiYiPRsRgRNweEU9HxHhEfCRN03+vYJ2fiYjfj4iRiPhPEfFsRJyIiN9P0/R8tecGAIrBDtbKTV2cymzdob6hTNYGAACAZtTZ0RlDfUP+fRuqJBdHBCdJsisinoyIX4uIUxHxJxHx/Yj4rYj4pyRJbi9zndsj4p9WPje7ss6plXWfTJLkNdWfHgAoAjtYKzc9P53NugvZrAsAAAAA1ZCLwBoRRyKiKyJ+M03TkTRN/1uapu+I64F0T0R8rMx1Ph4RuyPij9M0vXtlnZG4Hly7Vr4HAOAn2MFauaVr2fx3srgsZgMAAACQX3UPrCu7V98ZEf8WEZ++6fEfRMSViHhPkiQdJdbZHhHvWXn/H970+H9ExP+NiP12sQIAL8cO1sq1tawfpTeqvXX9fxYAAAAAUE91D6wR8faVn19J0/Sl1Q/SNL0UEd+IiPaI+KUS6/xSRLRFxDdWPrd6nZciYvKm7wMA+BGBtXL9Xf3ZrNuZzboAAAAAUA15CKx7Vn4+tcbzsys/d9doHQCgCTkiuHIDOwcaal0AAAAAqIaWeg8QEa9Y+fncGs9vvP5TNVonIiKSJHlyjUd7y/k8ANBY7GCtXFdHV+zftT8mZydLv7lMg72D0dnRWbX1AAAAAKDa8rCDFQCg7uxg3ZjRfaO5Xg8AAAAAqi0PO1hv7Cx9xRrPb7z+HzVaJyIi0jS96+VeX9nZ+oZy1gAAGocdrBsz3DccI3tHYvzM+KbXum/vfTHUO1SFqa6bvzIfUxenYnp+OpauLUVbS1v0d/XHwM6B6Oroqtr3AAAAANBc8hBYZ1Z+rnU3at/Kz7XuVq32OgBAE7KDdWOSJImjB47G6Qun48KlCxtep2dHTxw5cCSSJNnUPGmaxvGzx+PwqcPrHl28f9f+GN03GsN9w5v+TgAAAACaSx6OCP6HlZ/vTJLkx+ZJkuS2iHhzRCxGxD+XWOefI2IpIt688rnV62yJiHfe9H0AAD9iB+vGdW/vjpMPnYyeHT0b+nzPjp44+dDJ6N7evak55i7Pxf2P3x/3fvHekvfCTs5Oxr1fvDfuf/z+mLs8t6nvBQAAAKC51D2wpmk6GxFfiYifjYjfuOnxRyKiIyIeS9P0yo0XkyTZmyTJ3pvWuRwRj628/w9vWuf9K+tPpmn6/SqODwAUhB2sm7Pnjj1x+uDpGNk7UtHnRvaOxOmDp2P37WsdQlKemWdmYuDRgYqPKh4/Mx4Djw7EzDMzpd8MAAAAAJGDwLri1yNiPiI+lSTJeJIkn0iS5O8j4rfj+pG+v3vT+7+38tfNfmfl/R9IkuTkyjrjEfGnK+vfHHABACLCDtZq6N7eHWMPjMXEgxMx2Du47nsHewdj4sGJGHtgrCo7V+/+/N0bPqL4wqULcc9j99jJCgAAAEBZ8nAHa6RpOpskyUBEfDQiBiNiOCKejuth9CNpmv57mes8myTJmyLiDyJiJCL+S0Q8GxGfi4jfT9P0fBbzAwCNzw7W6kiSJIb7hmO4bzgWrizE1MWpmF6YjsXlxWhvbY/+zv4Y2DkQnR2dVfm+NE3jkS8/sqn7XyMizv/wfByaOBRjD4y5kxUAAACAdSVpmtZ7hoaSJMmTb3jDG97w5JNP1nsUAKCKlpeX45ZbblnzeZIk8eKLL4pvOTPx1ETc+8V7q7fegxMx3DdctfUAAAAAyI+77rorvvWtb30rTdO7NrNOXo4IBgCoq9bW1mhpWftwjzRN4/nnn6/hRJTj8KnDuV4PAAAAgOIRWAEAVpS6h9Uxwfkyf2U+Jmcnq7rmiXMnYuHKQlXXBAAAAKBYBFYAgBWlAuvi4mKNJqEcUxenGmpdAAAAAIpBYAUAWNHW1rbucztY82V6fjqbdReyWRcAAACAYhBYAQBW2MHaWJauZRO8F5f9cwYAAABgbQIrAMAKO1gbS1vL+v+8Nqq9df3QDgAAAEBzE1gBAFbYwdpY+rv6s1m3M5t1AQAAACgGgRUAYIUdrI1lYOdAQ60LAAAAQDEIrAAAK+xgbSxdHV2xf9f+qq452DsYnR2dVV0TAAAAgGIRWAEAVtjB2nhG943mej0AAAAAikdgBQBYYQdr4xnuG46RvSNVWeu+vffFUO9QVdYCAAAAoLgEVgCAFaV2sAqs+ZMkSRw9cDTuvO3OTa3Ts6Mnjhw4EkmSVGkyAAAAAIpKYAUAWFFqB6sjgvOpe3t3nHzoZPTs6NnQ53t29MTJh05G9/buKk8GAAAAQBEJrAAAKxwR3Lj23LEnTh88XfFxwSN7R+L0wdOx+/bdGU0GAAAAQNEIrAAAK0odEWwHa751b++OsQfGYuLBiRjsHVz3vYO9gzHx4ESMPTBm5yoAAAAAFWmp9wAAAHlhB2vjS5IkhvuGY7hvOBauLMTUxamYXpiOxeXFaG9tj/7O/hjYORCdHZ31HhUAAACABiWwAgCssIO1WDo7OmOobyiG+obqPQoAAAAABeKIYACAFXawAgAAAACl2MEKALDCDlYAAACgqOavzF+/Smd+OpauLUVbS1v0d12/Sqero6ve40FDEVgBAFbYwQoAAAAUSZqmcfzs8Th86nBMzk6u+b79u/bH6L7RGO4bjiRJajghNCaBFQBghR2sAAAAQFHMXZ6LQxOHYvzMeMn3Ts5OxuTsZIzsHYmjB45G9/buGkwIjcsdrAAAK+xgBQAAAIpg5pmZGHh0oKy4utr4mfEYeHQgZp6ZyWgyKAaBFQBghR2sAAAAQKObuzwXd3/+7rhw6cKGPn/h0oW457F7Yu7yXJUng+IQWAEAVtjBCgAAADSyNE3jkS8/suG4esP5H56PQxOHIk3TKk0GxSKwAgCsEFgBAACARnb87PE4NnOsKmuNnxmPJ849UZW1oGgEVgCAFY4IBgAAABrZ4VOHc70eFIXACgCwopzA6mgcAAAAII/mr8zH5OxkVdc8ce5ELFxZqOqaUAQCKwDAiq1bt8Ytt9yy7nuuXr1ao2kAAAAAyjd1caqh1oVGJrACAKziHlYAAACgEU3PT2ez7kI260IjE1gBAFZxDysAAADQiJauZfM7i8Vlf9gcbiawAgCsYgcrAAAA0IjaWtb/Q+Mb1d66/u9KoBkJrAAAq9jBCgAAADSi/q7+bNbtzGZdaGQCKwDAKnawAgAAAI1oYOdAQ60LjUxgBQBYxQ5WAAAAoBF1dXTF/l37q7rmYO9gdHZ0VnVNKAKBFQBgFTtYAQAAgEY1um801+tBUQisAACrlNrBKrACAAAAeTXcNxwje0eqstZ9e++Lod6hqqwFRSOwAgCsUmoHqyOCAQAAgLxKkiSOHjgad95256bW6dnRE0cOHIkkSao0GRSLwAoAsIojggEAAIBG1r29O04+dDJ6dvRs6PM9O3ri5EMno3t7d5Ung+JoqfcAAAB5UuqI4McffzxmZ2drNA1Z2LJlS/T29saBAwfizjs39yd6AQAAII/23LEnTh88HYcmDsX4mfGyPzeydySOHjgqrkIJAisAwCqldrB+9atfja9+9au1GYZMbd++Pf7sz/4s3v3ud9d7FAAAAKi67u3dMfbAWDxx7ok4fOpwnDh3Ys33DvYOxui+0RjqHXIsMJRBYAUAWKXUDlaK4/Lly/G+970vfuEXfiFe+9rX1nscAAAAqLokSWK4bziG+4Zj4cpCTF2ciumF6VhcXoz21vbo7+yPgZ0D0dnRWe9RoaEIrAAAq5TawUqxPP/88/GFL3wh/uiP/qjeowAAAECmOjs6Y6hvKIb6huo9CjS8LfUeAAAgT2677bZ6j0CNPfnkk/UeAQAAAIAGIrACAKxy11131XsEauzZZ5+t9wgAAAAANBCBFQBglde97nXxlre8pd5jUEMCKwAAAACVEFgBAFbZunVr/NVf/VW86U1vqvco1IjACgAAAEAlWuo9AABA3rzyla+Mf/zHf4xvfOMb8a//+q9x9erVeo/EJqRpGh/60IfWfP7cc8/FtWvXoqXF/zUGAAAAoDS/RQIAeBlbt26Nt771rfHWt7613qNQBR/72MfiueeeW/P5D37wg+jq6qrhRAAAAAA0KkcEAwBQeLfffvu6zx0TDAAAwP9n7+6D67rPetE/y5aT6MVOYluK4qivtmIz4qZwEQYOtOEkHmwpKSjpaTjkHDLATIYYED1zL0yh5fJ2gDId5jLUEDMp5EJymXAKGOVS2dYMDr0tbS+2mmmh6rGInZfGcmTJTmJLsuzY8bp/OG7T1NpbL2uvrb3259PxuN6/tZ7fk3+S5f3V71kA8yVgBQCg8ASsAAAAAGRFwAoAQOEJWAEAAADIioAVAIDCE7ACAAAAkBUBKwAAhSdgBQAAACArAlYAAApPwAoAAABAVgSsAAAUnoAVAAAAgKwIWAEAKDwBKwAAAABZaah2AwAAUGkCVgAAgMobHR2N//7f/3sMDw/HmTNnqt0OFN5HP/rR+Pmf//lqt1GXBKwAABSegBUAAKCyvvCFL8Qdd9wR58+fr3YrUDdmZmaq3ULdMiIYAIDCE7ACAABUujJ2cwAAIABJREFUTpqm8VM/9VPCVaBuCFgBACi8+QSsaZrm1A0AAECxHD16NJ555plqtwGQGwErAACF19zcHNdcc82c6xcuXIjp6ekcOwIAACiOZ599ttotAORKwAoAQOElSRJr164teY0xwQAAAItz5syZarcAkCsBKwAAdcF7WAEAACpDwArUGwErAAB1QcAKAABQGadPn652CwC5aqh2AwAAkAcBKwAAQGWUO8Ha398fv/Irv5JTN1A/1qxZU+0W6paAFQCAuiBgBQAAqIxyAestt9wSGzZsyKkbgMozIhgAgLogYAUAAKiMciOCr7/++pw6AciHgBUAgLogYAUAAKiMcidYjTEFikbACgBAXRCwAgAAVIaAFag3AlYAAOqCgBUAAKAyjAgG6o2AFQCAuiBgBQAAqAwnWIF6I2AFAKAuCFgBAAAqo1zA6gQrUDQN1W4AAADyIGAFAACojHIjgmvtBOvEzEQMHx+OkYmRmL04G40NjdHV1hXdG7qjrbmt2u0By4CAFQCAurB27dqS62fOnIkLFy7EqlWrcuoIAACg9l26dCmmpqZKXrN69eqculm8NE1j7zN7Y9fBXTF0dGjO67Zv3B79W/ujt7M3kiTJsUNgOTEiGACAutDQ0FB2LNXLL7+cUzcAAADFMD09XXK9qalp2f8g6/j0eNz7qXvj7ifuLhmuRkQMHR2Ku5+4O+791L0xPj2eU4fAciNgBQCgbhgTDAAAkK1aHw88enI0uh/pjoHDAwu6b+DwQHQ/0h2jJ0cr1BmwnAlYAQCoGwJWAACAbJ05c6bk+nIOWMenx+POx+6MsamxRd0/NjUW2x7f5iQr1CEBKwAAdUPACgAAkK1yAWu5V7VUS5qm8dCnH1p0uHrFsTPHYufgzkjTNKPOgFogYAUAoG4IWAEAALJVqyOC9z6zN54cfTKTWgOHB2LfkX2Z1AJqg4AVAIC6US5gffnll3PqBAAAoBhqdUTwroO7lnU9YHkTsAIAUDecYAUAAMhWLY4InpiZiKGjQ5nW3H9kf0zOTGZaE1i+BKwAANQNASsAAEC2anFE8PDx4YrU/ZV//JXY+8zemJiZqEh9YPloqHYDAACQl3IB6759++Lee++teB9r166N22+/Pfr6+mL16tUV3w8AAKBSavEE68jESEXqPvrlR+PRLz8aERHbN26P/q390dvZG0mSVGQ/oHoErAAA1I1yAevY2Fj8/d//fS69/Pmf/3l813d9V+zbty/a29tz2RMAACBrtfgO1tmLsxXfY+joUAwdHYq+LX2x+67d0d7i731QJEYEAwBQN8oFrHn78pe/HA8++GC12wAAAFi0WhwR3NjQmNteA4cHovuR7hg9OZrbnkDlCVgBAKgbyy1gjYjYv39/nDx5stptAAAALEotjgjuauvKdb+xqbHY9vi2GJ8ez3VfoHIErAAA1I3W1tZl9+6bixcvxpe//OVqtwEAALAotXiCtXtDd+57HjtzLHYO7ow0TXPfG8iegBUAgLrR1NQU3/3d313tNr7NiRMnqt0CAADAotTiO1jbmtti+8btue87cHgg9h3Zl/u+QPYErAAA1JWPfOQj1W7h24yPGxMFAADUplocERwR0b+1vyr77jq4qyr7AtkSsAIAUFc+8IEPxJ/+6Z/G6tWrq93KNwhYAQCAWlWLI4IjIno7e6NvS1/u++4/sj8mZyZz3xfIVkO1GwAAgLz97M/+bNx///3xla98JSYmJiq+34EDB+Lhhx+ec13ACgAA1KpaHBEcEZEkSey+a3ccGjsUY1Njue49fHw4ejp7ct0TyJaAFQCAurR69er4oR/6oVz2WrlyZcmA1TtYAQCAWvT666/HzMxMyWuW0/Sgt2pvaY8DDxyIbY9vi2NnjuW278jkiIAVapwRwQAAUGHt7e0l151gBQAAalG506stLS2xcuXKnLpZnM3rN8ehBw/lOi747IWzue0FVIaAFQAAKkzACgAAFFG5gPX666/PqZOlaW9pjz337YnB+wdjx6YdFd+vaVVTxfcAKsuIYAAAqLCbbrqp5PrJkyfj4sWL0dDg8RwAAKgdtfr+1atJkiR6O3ujt7M3JmcmY/j4cPzt1/42Hv3yo5nv1dXalXlNIF9OsAIAQIVdd911JX9yO03TmJyczLEjAACApTt9+nTJ9VoKWN+stbk1ejp74mPbPlaR+t0buitSF8iPgBUAAHJgTDAAAFA0RRkRPJe25rbYvnF7pjV3bNoRrc2tmdYE8idgBQCAHAhYAQCAoinSiOC59G/tX9b1gOoQsAIAQA7KvYdVwAoAANSaoo4IfrPezt7o29KXSa17ttwTPZt6MqkFVJeAFQAAclDuBOuJEydy6gQAACAbRR8RHBGRJEnsvmt33LL6liXV6VjTEQ/f9XAkSZJRZ0A1CVgBACAHRgQDAABFUw8jgiMi2lva48ADB6JjTcei7u9Y0xEHHjgQ7S2l/14I1A4BKwAA5EDACgAAFE09jAi+YvP6zXHowUMLHhfct6UvDj14KG5dd2uFOgOqQcAKAAA58A5WAACgaOphRPCbtbe0x5779sTg/YOxY9OOktfu2LQjBu8fjD337XFyFQqoodoNAABAPfAOVgAAoGjqZUTwmyVJEr2dvdHb2RuTM5MxfHw4RiZH4uyFs9G0qim6Wruie0N3tDa3VrtVoIIErAAAkAMjggEAgKIpNyK4aCdY36q1uTV6Onuip7On2q0AOTMiGAAActDaWvqnl1999dU4d+5cTt0AAAAsXT2eYAWIELACAEAuVq1aFevXry95jTHBAABALRGwAvXKiGAAAMhJe3t7nDx5cs71EydOxDve8Y4F152Ymbj83p+JkZi9OBuNDY3R1Xb5vT9tzW1LaRkAAGBO9T4iGKhfAlYAAMhJe3t7fPWrX51zfSHvYU3TNPY+szd2HdwVQ0eH5rxu+8bt0b+1P3o7eyNJkgX1CwAAUIoTrEC9ErACAEBObrrpppLr8w1Yx6fHY+fgzhg4PFD22qGjQzF0dCj6tvTF7rt2R3tL+7z2AAAAKOXChQsxOzs753qSJNHc3JxjRwD58Q5WAADISXt76XBzPgHr6MnR6H6ke17h6psNHB6I7ke6Y/Tk6ILuAwAAuJr5nF5dsUIEARSTf7sBAEBOygWsJ06cKLk+Pj0edz52Z4xNjS1q/7Gpsdj2+LYYn57/KGIAAICrMR4YqGcCVgAAyMlSRgSnaRoPffqhRYerVxw7cyx2Du6MNE2XVAcAAKhvAlagnnkHKwAA5GQpI4L3PrM3nhx9MpM+Bg4PxL4j+6K3szeTegAAQP05ffp0yfXrr78+p07Km5iZiOHjwzEyMRKzF2ejsaExutq6ontDd7Q1t1W7PaAGCVgBACAnSwlYdx3clWkvuw7uErACAADzcvr06fjd3/3d+MxnPvONv7fMzs6WvKfaJ1jTNI29z+yNXQd3xdDRoTmv275xe/Rv7Y/ezt5IkiTHDoFaJmAFAICcLPYdrBMzEyW/EFiM/Uf2x+TMZLQ2t2ZaFwAAKJZTp05Fd3d3PP/88wu6r5onWMenx2Pn4M4YODxQ9tqho0MxdHQo+rb0xe67dkd7S+m/twFEeAcrAADkZt26dbFy5co512dmZmJ6evrbPh8+PlyRfipVFwAAKI5f/dVfXXC4GlG9E6yjJ0ej+5HueYWrbzZweCC6H+mO0ZOjFeoMKBInWAEAICcrVqyItra2eOmll+a85qGHHoqWlpZv+ezL41+OODbPTW6IiHdGREdElJluNTI5Ej2dPfMsDAAA1KPBwcFF3VeNgHV8ejzufOzOGJsaW9T9Y1Njse3xbXHowUNOsgIlCVgBACBH7e3tJQPWv/qrv8pmo60RsSNKzqw5e+FsNnsBAACFdP78+Th+/Pii7r355psz7qa0NE3joU8/tOhw9YpjZ47FzsGdsee+Pd7JCszJiGAAAMjRTTfdlM9GB9/4VULTqqZcWgEAAGrT1V5hMl+33357hp2Ut/eZvfHk6JOZ1Bo4PBD7juzLpBZQTAJWAADIUXt7jmOmvlJ6uau1K58+AACAmrTYgPUnf/Ino7u7O+NuStt1cNeyrgcUi4AVAABylOuYrJci4sLcy90b8v3CAwAAqC1TU1MLun7t2rXx67/+6/HJT36yQh1d3cTMRAwdHcq05v4j+2NyZjLTmkBxCFgBACBH27dvz3fDOX7gfMemHdHa3JpvLwAAQE0pd4L1tttuixdeeCFeeOGFeOmll+LkyZPxW7/1W3Httdfm1OFlw8eHa6ouUPsErAAAkKP3vve90dWV42jeOb4P6d/an18PAABATSoXsK5duzbe/va3x9vf/vZob2+PJEly6uxbjUyMVKbuZGXqArVPwAoAADlasWJFPPXUU/G93/u9+Wx4le9D7tlyT/Rs6slnfwAAoGaVGxG8evXqnDopbfbibEXqnr1wtiJ1gdrXUO0GAACg3rS1tcW//Mu/xOjoaHzxi1+M8+fPz+u+0+dPx+9/7vfj1XOvfvPDf42IF0vc9JbvQzrWdMTDdz1ctZ8sBwAAake5E6wtLS05dVJaY0NjReo2rWqqSF2g9glYAQAgJxMzEzF8fDhGJkZi9uJsNDY0RtcPdUX3hu5oa26bV42+/9IX2x7fFsfOHLv8watROmB90/chHWs64sADB6K9pX3R/wwAAED9qJWAtautMq9h6WrN8fUuQE0RsAIAQAWlaRp7n9kbuw7uiqGjQ3Net33j9ujf2h+9nb0lT5duXr85Dj14KHYO7oyBwwMR5SZyvfF9SN+Wvth9127hKgAAMG+1MiK4e0N3TdUFap93sAIAQIWMT4/HvZ+6N+5+4u6S4WpExNDRobj7ibvj3k/dG+PT4yWvbW9pjz337YnB+wfjPZveU/La1rQ1Bu8fjD337RGuAgAAC1IrJ1jbmtti+8btmdbcsWlHtDa3ZloTKA4BKwAAVMDoydHofqT78inTBRg4PBDdj3TH6MnRktclSRK9nb3xiQ9+ouR1b1/x9rKnYgEAAK6mVgLWiIj+rf3Luh5QLAJWAADI2Pj0eNz52J0xNjW2qPvHpsZi2+Pbyp5kjYhoby99KnV8vHwNAACAq6mVEcEREb2dvdG3pS+TWvdsuSd6NvVkUgsoJgErAABkKE3TeOjTDy06XL3i2JljsXNwZ6RpWvK6m2++ueT6iRMn4tKlS0vqBQAAqE+1dII1SZLYfdfuuGX1LUuq07GmIx6+62FTgICSBKwAAJChvc/sjSdHn8yk1sDhgdh3ZF/Ja1paWqKpqWnO9YsXL8apU6cy6QcAAKgvtRSwRkS0t7THgQcORMeajkXd37GmIw48cCDaW0pPCgIQsAIAQIZ2HdyVa70kScqeYn3ppZeybAkAAKgTtTQi+IrN6zfHoQcPLXhccN+Wvjj04KG4dd2tFeoMKBIBKwAAZGRiZiKGjg5lWnP/kf0xOTNZ8ppy72EVsAIAAItRaydYr2hvaY899+2JwfsHY8emHSWv3bFpRwzePxh77tvj5Cowbw3VbgAAAIpi+Phwxer2dPbMuV7uBOv4+HjWLQEAAHWgVgPWiMvTfno7e6O3szcmZyZj+PhwjEyOxNkLZ6NpVVN0tXZF94buaG1urXarQA0SsAIAQEZGJkYqU3dyZEkBqxOsAADAYtTiiOCraW1ujZ7OnpJ/rwJYCCOCAQAgI7MXZytS9+yFsyXXy40IdoIVAABYjFo+wQpQSQJWAADISGNDY0XqNq1qKrnuBCsAAJC1NE0FrABzELACAEBGutq6KlO3tXRdJ1gBAICsnTt3Li5dujTn+jXXXBPXXHNNjh0BLB8CVgAAyEj3hu6q1HWCFQAAyFq59686vQrUMwErAABkpK25LbZv3J5pzR2bdkRrc2vJa5xgBQAAsmY8MMDcBKwAAJCh/q39uddrbW2NFSvmfrSfmpqKmZmZLNsCAAAKrlzAunr16pw6AVh+BKwAAJCh3s7e6NvSl0mte7bcEz2bespet3Llymhrayt5jTHBAADAQhgRDDA3ASsAAGQoSZLYfdfuuGX1LUuq07GmIx6+6+FIkmRe15d7D6sxwQAAwEIYEQwwNwErAABkrL2lPQ48cCA61nQs6v6ONR1x4IED0d5S+t2q37JnmfewOsEKAAAshBHBAHMTsAIAQAVsXr85Dj14aMHjgvu29MWhBw/FretuXdB9TrACAABZMiIYYG4CVgAAqJD2lvbYc9+eGLx/MHZs2lHy2h2bdsTg/YOx5749Czq5ekW5gNUJVgAAYCGMCAaYW0O1GwAAgCJLkiR6O3ujt7M3JmcmY/j4cIxMjsTZC2ejaVVTdLV2RfeG7mhtbl3SPuVGBDvBCgAALIQRwQBzE7ACAEBOWptbo6ezJ3o6ezKv7QQrAACQJSOCAeZmRDAAABSAE6wAAECWjAgGmJsTrAAAUADlTrCOjo7GBz/4wcz2e9vb3hY//MM/HHfffXesWOHnNgEAoGiMCAaYm4AVAAAKoNwJ1tnZ2fjbv/3bTPf8wz/8w/jgBz8Yjz32WFx33XWLrjMxM3H53bQTIzF7cTYaGxqjq+3yu2nbmtsy7BgAAJgvI4IB5iZgBQCAAmhqaoo1a9bEmTNnct33b/7mb+K2226LX/u1X1vQfWmaxt5n9saug7ti6OjQnNdt37g9+rf2R29nbyRJstR2AQCAeXKCFWBuZnkBAEBBlDvFWimPPvpopGk67+vHp8fj3k/dG3c/cXfJcDUiYujoUNz9xN1x76fujfFp75EFAIC8eAcrwNwErAAAUBAdHR1V2fe5556LkydPzuva0ZOj0f1IdwwcHljQHgOHB6L7ke4YPTm6mBYBAIAFMiIYYG4CVgAAKIienp6q7f3cc8+VvWZ8ejzufOzOGJsaW9QeY1Njse3xbU6yAgBADowIBpibgBUAAAri/vvvj3Xr1lVl72effbbkepqm8dCnH1p0uHrFsTPHYufgzgWNJAYAABbOiGCAuQlYAQCgIDZs2BCf//zn49Zbb81973InWPc+szeeHH0yk70GDg/EviP7MqkFAABcnRHBAHNrqHYDAABAdjZv3hyHDx+Oo0ePxle+8pW4dOlSJnX/4R/+IR5//PE518sFrLsO7sqkjzfX6+3szbQmAABw2aVLl2JmZqbkNQJWoJ4JWAEAoGCSJIlNmzbFpk2bMqt56dKlRQesEzMTMXR0KLNeIiL2H9kfkzOT0drcmmldAAAg4uzZsyXXGxsbY+XKlTl1A7D8GBEMAACU9a53vavkeqmAdfj4cNbtVLQuAADUO+OBAUoTsAIAAGWVC1i//vWvx+uvv37VtZGJkUq0FCOTlakLAAD1bnp6uuT66tWrc+oEYHkyIhgAAChr/fr10dzcPOd7mC5cuBBjY2Px9re//dvWZi/OVqSnyZnJ2PvM3hiZGInZi7PR2NAYXW1d0b2hO9qa2yqyJwAA1INyAasTrEC9E7ACAABlJUkS73rXu+KrX/3qnNc899xzVw1YGxsaK9LTx7/w8fj4Fz5+1bXtG7dH/9b+6O3sjSRJKrI/AAAUlRHBAKUZEQwAAMzLYt/D2tXWVYl2Sho6OhR3P3F33Pupe2N8ejz3/QEAoJYZEQxQmoAVAACYl8UGrN0buivRzrwMHB6I7ke6Y/TkaNV6AACAWmNEMEBpAlYAAGBeFhuwtjW3xfaN2yvR0ryMTY3Ftse3OckKAADzZEQwQGkCVgAAYF4WG7BGRPRv7c+6nQU5duZY7BzcGWmaVrUPAACoBUYEA5QmYAUAAOZlKQFrb2dv9G3py7qlBRk4PBD7juyrag8AAFALjAgGKE3ACgAAzEu5gPX48eNx/vz5q64lSRK779odt6y+pRKtzduug7uquj8AANQCAStAaQJWAABgXlavXh3r1q2bcz1N03jhhRfmXG9vaY8DDxyIjjUdlWhvXvYf2R+TM5NV2x8AAGpBuXewGhEM1DsBKwAAMG9LGRMcEbF5/eY49OChqo4LHj4+XLW9AQCgFjjBClCagBUAAJi3pQasEZdPsu65b08M3j8YOzbtyKq1eRuZHMl9TwAAqCUCVoDSGqrdAAAAUDvKBaz/+PQ/xr0z90Zbc1vJ65Ikid7O3ujt7I3JmckYPj4cI5MjcfbC2Wha1RRdrV3xmec/Ex//wsezbD8iIs5eOJt5TQAAKBIjggFKE7ACAADz9s53vrPk+t99/u/i7/7g72L7xu3Rv7U/ejt7I0mSkve0NrdGT2dP9HT2fMvnX5346lLbvaqmVU0VqQsAAEXhBCtAaQJWAABgXsanx+PxFx8vfdFYRHw2YuizQzH0fw3Fd7R+R/zY5h+L1dcu/CfcR0+ORnxlEY2uiYh3RsQNV1/uau1aRFEAAKgfAlaA0gSsAABAWaMnR+POx+6Msamx0heejoinvvnH//nG/6rifRHxHyPiLQdouzd0V6MbAACoGUYEA5S2otoNAAAAy9v49Pg3w9U5ToUuS5+NiIPf+tGOTTuitbm1Ku0AAECtcIIVoDQBKwAAMKc0TeOhTz/0zZOrDRFRSz+s/qWISL/5x/6t/VVrBQAAaoWAFaA0ASsAADCnvc/sjSdHn/zWD2+sTi+LMhERM5f/7z1b7omeTT1VbQcAAJa7ixcvxuzs7JzrSZJEU1NTjh0BLD/ewQoAAMxp18Fd3/7hOyPi63l3sgRTER0bOuLhux6OJEnKXw8AADVqdnY2nn766Xj22WcjTdPyN1zFuXPnSq43NzfHihXObgH1TcAKAABc1cTMRAwdHfr2he+OiH+OiEt5d7Q4615fFwceOBDtLe3VbgUAACrmqaeeip/+6Z+Or3+9sj8NaTwwgBHBAADAHIaPD1994caIuD8irsmzm8X78P/y4bh13a3VbgMAACrmyJEj0dfXV/FwNSJi9erVFd8DYLlzghUAALiqkYmRuRc3RcSHIuL5iBiPiAVMH7vjXXfE93V836J6StM0nn3l2Rg+PhzPvvLs5Q9fiIgX575n+tT0ovYCAIBa8cgjj8TU1FQueznBCiBgBQAA5jB7cbb0Bc0R0fXGrwW4/Ydvj1+//dcX29Y3TM5MxvDx4di9a3f8w65/mPO6sbGxJe8FAADL2ec///nc9hKwAhgRDAAAzKGxobEidZtWNWVSp7W5NXo6e+K//tB/LXmdgBUAgKJ76aWXctvrtttuy20vgOVKwAoAAFxVV9sCj6bOt25rtnVvueWWkusCVgAAiu7EiRO57JMkSfzET/xELnsBLGcCVgAA4Kq6N3TXRF0BKwAA9Wx6ejrOnj1b8X1WrlwZH//4x+MHf/AHK74XwHLnHawAAMBVtTW3xfaN22Po6FBmNXds2hGtza2Z1YuI2LBhQ8n1l19+OWZnZ6OxsTIjjwEAoJrKnV5tbm6Oe++9d9H1kySJTZs2xY/+6I/Ge97znkXXASgSASsAADCn/q39mQas/Vv7M6t1xTXXXBOtra0xOTk55zUvvfRSvPvd7858bwAAqLZyAWtnZ2c89thjOXUDUB+MCAYAAObU29kbfVv6Mql1z5Z7omdTTya13sqYYAAA6lW5gPWmm27KqROA+iFgBQAA5pQkSey+a3fcsrp0gFlOx5qOePiuhyNJkow6+1YCVgAA6pWAFSB/AlYAAKCk9pb2OPDAgehY07Go+zvWdMSBBw5Ee0t7xp19k4AVAIB6JWAFyJ+AFQAAKGvz+s1x6MFDCx4X3LelLw49eChuXXdrhTq7TMAKAEC9ErAC5E/ACgAAzEt7S3vsuW9PDN4/GDs27Sh57Y5NO2Lw/sHYc9+eip5cvULACgBAvRKwAuSvodoNAAAAtSNJkujt7I3ezt6YnJmM4ePDMTI5EmcvnI2mVU3R1doV3Ru6o7W5Nde+NmzYUHJdwAoAQFEJWAHyJ2AFAAAWpbW5NXo6e6Kns6farTjBCgBA3RKwAuTPiGAAAKDmlQtYjx8/Hmma5tQNAADkR8AKkD8BKwAAUPPWrl0b11577Zzrr732Wpw6dSrHjgAAoPJmZ2djampqzvUVK1bE+vXrc+wIoD4IWAEAgJqXJIkxwQAA1J1yp1fXr18fK1euzKkbgPohYAUAAApBwAoAQL0xHhigOgSsAABAIQhYAQCoNwJWgOoQsAIAAIUgYAUAoN6UC1jb2tpy6gSgvghYAQCAQhCwAgBQb5xgBagOASsAAFAIAlYAAOrNxMREyXUBK0BlCFgBAIBCELACAFBvnGAFqI6GajcAAACQhXIB67PPPhsf/ehHc+pmYVauXBlbtmyJnp6euPHGG6vdDgAANULAClAdAlYAAKAQbr755pLr09PT8Xu/93s5dbM4bW1t8cQTT8Qdd9xR7VYAAKgBAlaA6jAiGAAAKIRrr7021q9fX+02lmRiYiI++MEPxvj4eLVbAQCgBghYAapDwAoAABRGuTHBteDll1+OPXv2VLsNAACWuddeey1eeeWVkte0tbXl1A1AfRGwAgAAhdHR0VHtFjJx6NCharcAAMAyNzExUXJ97dq1sWrVqpy6AagvAlYAAKAwivLu0nJflgEAgPHAANUjYAUAAArjJ37iJ6KpqanabSzZ5ORktVsAAGCZE7ACVI+AFQAAKIybb745nnrqqVi3bl21W1kSASsAAOUIWAGqp6HaDQAAAGTp+77v++L555+PL3zhC/H000/H66+/Xu2Wvs25c+fid37nd+ZcNyIYAIByBKwA1bNsAtYkSf5DRPxaRHx/RDRGxDMR8WhE7ErTdN7fiCRJkpZY/pc0Tb9/SY0CAADLXktLS/zIj/xI/MiP/Ei1W7mqS5cuxcc+9rE5w9+zZ8/GzMxMNDc359wZAAC1QsAKUD3LImBNkuTHIuLvIuJcRPyPiHg5It4fEX8YET8YER9cYMkXIuIvrvL5scV3CQAAkI0VK1bEunXrSp5UnZycFLACABTIxYsX46WXXsqs3vPPP19yXcAKUDlVD1iTJFk6GGOOAAAgAElEQVQTEZ+MiNcj4ofTNB1+4/P/IyKeioj/lCTJf07T9K8XUPb5NE1/M/NmAQAAMtLW1lY2YH3nO9+ZX0MAAFTE2NhYfOhDH4rBwcE4d+5cbvsKWAEqp+oBa0T8p4hojYjHroSrERFpmp5LkuTXIuJAROyMiIUErAAAAMtaa2tryfXJycmcOgEAoFLOnDkT733ve+O5557LfW8BK0DlLIeA9Y43ft9/lbXPRsTZiPgPSZJcm6bp+XnWvCFJkp+JiPaIOB0RX0rT9P9beqsAAADZaGtrK7le6nQrAAC14Y/+6I+qEq5GCFgBKmk5BKyb3/j939+6kKbpxSRJnouIroh4d0T8z3nWfE9E/PmbP0iS5CsR8ZNpmv7bEnoFAADIhBOsAADF95nPfKZqe5f7gT4AFm85BKzXv/H76TnWr3x+wzzr/Z8R8XdxObA9FxFbIuLDcXkU8VNJknxXmqZj5YokSfKlOZa2zLMPAACAOQlYAQCK7/jx41XZ921ve1tcd911VdkboB6syKJIkiTPJ0mSLuDX/53FvleTpun/nqbpF9I0PZmm6XSapsNpmn4wLoeu6yPilyq1NwAAwHwZEQwAUHxnzpypyr7vf//7q7IvQL3I6gTr0bh8WnS+3vxjO1dOqF5/tQvf9PmrC23qLf40Ij4QEe+bz8Vpmn7P1T5/42Tr/7rEXgAAgDrnBCsAQPFVI2DduHFj/M7v/E7u+wLUk0wC1jRN71zC7aMR0R0Rt0bEt4zlTZKkISLeFREXI+LZJewREXHl24nmJdYBAABYMidYAQCK7fXXX4/p6emS13R0dGS238033xx33HFHfOQjH4k1a9ZkVheAb7cc3sH6VET8l4jYERFPvGXtfRHRFBGfTdP0/BL3+f43fl9qUAsAALBkTrACABTb1NRUyfXm5uZ48cUXc+oGgCxl8g7WJfrbiDgZEf85SZLuKx8mSXJdRFyZY7D7zTckSdKUJMmWJEne/pbPb0uSZNVbN0iS5LaI+N03/lix978CAADMl4AVAKDYyo0HdsoUoHZV/QRrmqZnkiR5MC4HrZ9JkuSvI+LliPjRiNj8xuf/4y23bY2If4qI/zcifvhNn/9vEfH+JEk+FxEvRsT5iNgSl0/HroyIT8a3n5IFAADI3Y033hgrV66M119//arrZ8+ejZmZmWhu9pYTAIBadPr06ZLr119/fU6dAJC1qgesERFpmg4kSXJ7RHw0Ij4QEddFxJG4HJh+Ik3TdJ6lBiJiTUTcFhF3vFHnVETsi4hPpmn6/2TdOwAAwGKsWLEi1q9fHydOnJjzmsnJSQErAECNcoIVoLiWRcAaEZGm6ecjonee134mIpKrfD4Ql0NWAACAZa+tra1swPrOd74zv4YAAMhMuYDVCVaA2rUc3sEKAABQl8q9h3ViYiKnTgAAyFq5EcFOsALULgErAABAlZQLWCcnJ3PqBACArBkRDFBcAlYAAIAqaWtrK7nuBCsAQO0yIhiguASsAAAAVeIEKwBAcRkRDFBcAlYAAIAqKXeCVcAKAFC7jAgGKC4BKwAAQJWUO8FqRDAAQO0qd4LViGCA2iVgBQAAqBIjggEAissJVoDiErACAABUiRHBAADFVS5gdYIVoHYJWAEAAKrEiGAAgOIqNyLYCVaA2iVgBQAAqJIbbrghGhoa5lyfnZ2NmZmZHDsCACArRgQDFJeAFQAAoEpWrFgR69evL3mNU6wAALXJiGCA4hKwAgAAVFG5McHewwoAUJuMCAYoLgErAABAFbW1tZVcF7ACANSeCxcuxOzs7JzrSZJES0tLjh0BkCUBKwAAQBWVO8FqRDAAQO2Zmpoqub569epYscLX8wC1yr/BAQAAqsgJVgCA4jEeGKDYGqrdAAAAQD0rd4L1U5/6VLz44osREdHY2Bjvec974gMf+EBcd911ebQHAMAinDlzpuS6gBWgtglYAQAAqqhcwPqlL30pvvSlL33LZ7/9278dg4ODsWnTpkq2BgDAIpULWK+//vqcOgGgEowIBgAAqKJyI4Kv5t///d/jx3/8x+PSpUsV6AgAgKUyIhig2ASsAAAAVVTuBOtcnn766fi3f/u3jLsBACALTrACFJuAFQAAoIpuuummRd/79NNPZ9gJAABZ8Q5WgGITsAIAAFTRxo0bY/369Yu69+WXX864GwAAsmBEMECxNVS7AQAAgLxMzEzE8PHhGJkYidmLs9HY0BhdbV3RvaE72poX/i7ULKxYsSL6+/vjN37jNxZ8r4AVAGB5MiIYoNgErAAAQKGlaRp7n9kbuw7uiqGjQ3Net33j9ujf2h+9nb2RJEmOHUZ89KMfjYmJiXj44YcjTdN53ydgBQBYnowIBig2ASsAAFBY49PjsXNwZwwcHih77dDRoRg6OhR9W/pi9127o72lPYcOL1u5cmX88R//cXzoQx+KgwcPfiM4/dKXvhR/+Zd/Oed9AlYAgOXJiGCAYhOwAgAAhTR6cjTufOzOGJsaW9B9A4cH4tDYoTjwwIHYvH5zhbq7us7Ozujs7PzGn/fu3StgBQCoQUYEAxTbimo3AAAAkLXx6fFFhatXjE2NxbbHt8X49HjGnS3M2rVrS64LWAEAlicjggGKTcAKAAAUSpqm8dCnH1p0uHrFsTPHYufgzgW9EzVrAlYAgNpkRDBAsQlYAQCAQtn7zN54cvTJTGoNHB6IfUf2ZVJrMQSsAAC1yYhggGITsAIAAIWy6+CuZV1vIW644YaS62fOnIkLFy7k1A0AAPNlRDBAsQlYAQCAwpiYmYiho0OZ1tx/ZH9MzkxmWnO+Ghoayp5uePXVV3PqBgCA+So3ItgJVoDaJmAFAAAKY/j4cE3VnQ9jggEAasv58+fj/Pnzc66vWLEimpqacuwIgKw1VLsBAACArIxMjFSm7uRI9HT2VKR2OWvXro3nnntuzvVyAevEzEQMHx+OkYmRmL04G40NjdHV1hXdG7qjrbkt63YBgDrkeeNbzWc8cJIkOXUDQCUIWAEAgMKYvThbkbpnL5ytSN35WMwJ1jRNY+8ze2PXwV0lRyZv37g9+rf2R29nry/5AIAF8bwxt3IBq/HAALVPwAoAABRGY0NjReo2rareCLeFBqzj0+Oxc3BnDBweKFt76OhQDB0dir4tfbH7rt3R3tK+pF4BgPrgeaO0+ZxgBaC2eQcrAABQGF1tXZWp21qZuvOxkIB19ORodD/SPa8vO99s4PBAdD/SHaMnRxfVIwBQPzxvlHf69OmS6wJWgNonYAUAAAqje0N3TdWdj/kGrOPT43HnY3fG2NTYovYZmxqLbY9vi/Hp8UXdDwAUn+eN+TEiGKD4BKwAAEBhtDW3xfaN2zOtuWPTjmhtbs205kLMJ2BN0zQe+vRDi/6y84pjZ47FzsGdkabpkuoAAMXjeWP+jAgGKD4BKwAAUCj9W/uXdb2Fmk/AuveZvfHk6JOZ7DdweCD2HdmXSS0AoDg8b8yfEcEAxSdgBQAACqW3szf6tvRlUuueLfdEz6aeTGot1nwC1l0Hd2W6Z9b1AIDa53lj/owIBig+ASsAAFAoSZLE7rt2xy2rb1lSnY41HfHwXQ9HkiQZdbY45QLWEydPxNDRoUz33H9kf0zOTGZaEwCoXRMzE543FsCIYIDiE7ACAACF097SHgceOBAdazoWdX/Hmo448MCBaG9pz7izhSsbsE6eqMi+w8eHK1IXAKg9lXouKOrzRrkRwU6wAtQ+ASsAAFBIm9dvjkMPHlrwuOC+LX1x6MFDceu6WyvU2cKUC1hffeXViuw7MjlSkboAQO0ZmajMc0FRnzecYAUoPgErAABQWO0t7bHnvj0xeP9g7Ni0o+S1OzbtiMH7B2PPfXuWxcnVK2688caS67PTsxGXst/37IWz2RcFAGrS7MXZitQt6vOGgBWg+Bqq3QAAAEAlJUkSvZ290dvZG5MzkzF8fDhGJkfi7IWz0bSqKbpau6J7Q3e0NrdWu9Wruvbaa6OpqSnOnr36F5DppTTifEQ0Zrtv06qmbAsCADWrsSHjB403FPV5w4hggOITsAIAAHWjtbk1ejp7oqezp9qtLMjatWvnDFgjImI2Mg9Yu1q7si0IANSsrrbKPBfUwvPGq6++GjMzMwu659SpUyXXnWAFqH0CVgAAgGVu7dq1cezYsbkvqMDUvu4N3dkXBQBqUqWeC5br80aapvEXf/EX8du//dvx/PPPZ15fwApQ+7yDFQAAYJlbu3ZtyfXvufF7Mt1vx6Ydy3ZkMgCQv7bmtti+cXumNZfz88YnPvGJ+Jmf+ZmKhKsRRgQDFIGAFQAAYJkrF7De0X5Hpvv1b+3PtB4AUPuyfj5Yrs8bMzMz8eEPf7iiezjBClD7BKwAAADLXLmA9R3XvCP6tvRlstc9W+6Jnk219Y5aAKDyejt76+J544tf/GKcP3++YvUbGhriuuuuq1h9APIhYAUAAFjmygWsr7zySuy+a3fcsvqWJe3TsaYjHr7r4UiSZEl1AIDiSZKkLp43xsbGKlr/3e9+97L9Zwdg/gSsAAAAy1y5gPXll1+O9pb2OPDAgehY07GoPTrWdMSBBw5Ee0v7ou4HAIqvHp43Tp06VdH6vb29Fa0PQD4ErAAAAMvcfALWiIjN6zfHoQcPLXh8X9+Wvjj04KG4dd2ti+4RAKgPRX/euPJcVQm33npr/NZv/VbF6gOQn4ZqNwAAAEBp8w1YIy6fLNlz357Yd2Rf7Dq4K/Yf2T/nfTs27Yj+rf3Rs6nHqDoAYN6K/LxRLmC9/vrro7m5eUE1b7nllti2bVt85CMfiZaWlqW0B8AyIWAFAABY5hYSsEZcfkdab2dv9Hb2xuTMZAwfH46RyZE4e+FsNK1qiq7Wruje0B2tza2VbBsAKLCiPm+UGxH8iU98Ih544IGcugFguRKwAgAALHMLDVjfrLW5NXo6e6KnsyfrtgAAIqJYzxvlTrCuW7cup04AWM68gxUAAGCZW0rACgDA/JV7rir3XAZAfRCwAgAALHPzCVjTNM2pGwCA4io3ItgJVgAiBKwAAADLXlNTU1xzzTVzrl+4cCFmZmZy7AgAoJicYAVgPgSsAAAAy1ySJMYEAwBU2GuvvRZTU1Mlr7nxxhtz6gaA5UzACgAAUAMErAAAlfXKK6+UXL/hhhti5cqVOXUDwHImYAUAAKgBAlYAgMoyHhiA+WqodgMAAACUV+4Lvc997nNX/byxsTG+8zu/M1avXl2JtgAACuPUqVMl19etW5dTJwAsdwJWAACAGlAuYP3N3/zNOddWrFgRv/ALvxC///u/H42NjRl3BgBQDE6wAjBfRgQDAADUgKV8oXfp0qX4xCc+Eb/4i7+YYUcAAMXiBCsA8yVgBQAAqAFZnJj4sz/7s/j617+eQTcAAMXjBCsA8yVgBQAAqAFZfaH3z//8z5nUAQAoGgErAPMlYAUAAKgB3/Ed35FJnYmJiUzqAAAUjRHBAMyXgBUAAKAG/MAP/EBs2LBhyXXKfXEIAFCvnGAFYL4aqt0AAAAA5V177bXxxBNPxN133x1TU1OLrlPui0MAgCxNzEzE8PHhGJkYidmLs9HY0BhdbV3RvaE72prbqt3et3CCFYD5ErACAADUiPe9733xta99Lf7kT/4k/vVf/zVmZ2e/7ZoTJ07E1772tTlrCFgBgEpL0zT2PrM3dh3cFUNHh+a8bvvG7dG/tT96O3sjSZIcO7w6J1gBmC8BKwAAQA3p6OiIj33sY3Ouf/rTn473v//9c64LWAGAShqfHo+dgztj4PBA2WuHjg7F0NGh6NvSF7vv2h3tLe05dDi3cs9JTrACcIV3sAIAABRIuZMVAlYAoFJGT45G9yPd8wpX32zg8EB0P9IdoydHK9TZ/JQbEewEKwBXCFgBAAAKRMAKAFTD+PR43PnYnTE2Nbao+8emxmLb49tifHo8487m5/z58zEzMzPnepIkcf311+fYEQDLmYAVAACgQASsAEDe0jSNhz790KLD1SuOnTkWOwd3RpqmGXU2f+WekW688cZYuXJlTt0AsNwJWAEAAAqkXMD66quvxuuvv55TNwBAPdj7zN54cvTJTGoNHB6IfUf2ZVJrIcoFrMYDA/BmAlYAAIACaWhoiDVr1pS85pVXXsmpGwCgHuw6uGtZ15uPcgHrunXrcuoEgFogYAUAACgYY4IBgLxMzEzE0NGhTGvuP7I/JmcmM61ZzqlTp0quO8EKwJs1VLsBAAAAsrV27dp4/vnn51wXsAIAWRk+Plyxut+z4Xti+PhwjEyMxOzF2WhsaIyutq7o3tAdbc1tme5nRDAACyFgBQAAKBgnWAGAvIxMjFSk7n8b+m/x76f+fc717Ru3R//W/ujt7I0kSZa8nxHBACyEEcEAAAAFI2AFAPIye3G2InVLhasREUNHh+LuJ+6Oez91b4xPjy95PyOCAVgIASsAAEDBCFgBgLw0NjRWdf+BwwPR/Uh3jJ4cXVIdJ1gBWAgBKwAAQMEIWAGAvHS1dVW7hRibGottj29b0klWJ1gBWAgBKwAAQMEIWAGAvHRv6K52CxERcezMsdg5uDPSNF3U/U6wArAQAlYAAICCKfcFYLkTGgAA89XW3BbbN26vdhsRcXlc8L4j+xZ1b7mA1QlWAN5MwAoAAFAwTrACAHnq39pf7Ra+YdfBXYu6z4hgABZCwAoAAFAwAlYAIE+9nb3Rt6Wv2m1ERMT+I/tjcmZywfcZEQzAQghYAQAACkbACgDkKUmS2H3X7rhl9S3VbiUiIoaPDy/o+nPnzsXZs2fnXF+xYkWsWbNmqW0BUCACVgAAgIIRsAIAeWtvaY8DDxyIjjUd1W4lRiZHFnT9fN6/umKFr9IB+Cb/VQAAACiYG2+8seT6K6+8EpcuXcqpGwCgXmxevzkOPXio6uOCz16Y+zTq1cwnYAWANxOwAgAAFMy1114bzc3Nc66naRqnT5/OsSMAoF60t7THnvv2xOD9g7Fj046S125et7kiPTStalrQ9adOnSq5LmAF4K0aqt0AAAAA2Vu7dm3MzMzMuf7yyy+XPekKABTL5ORk/N7v/V588YtfzO2VAe9O3x3nLp6L115/LdI0jSRJ4pqV18R1DdfF1MWpiDPZ7/mHf/GH8ciqR+Z9falnpoiIdevWLbUlAApGwAoAAFBAa9eujRdffHHO9VOnTsXGjRtz7AgAqKZnn302vv/7vz8mJyer3UrFHX/5eKb1nGAF4K2MCAYAACigcl8E5nVqBQBYHh588MG6CFcrwQlWAN5KwAoAAFBA5b4IFLACQP0YHh6Op556qtpt1CwnWAF4KwErAABAATnBCgBc8Sd/8ifVbqGmbdiwodotALDMCFgBAAAKSMAKAERcfu/6X//1X1e7jZp2++23V7sFAJYZASsAAEABCVgBgIiIRx99NM6dO1ftNmrWz/3cz8WmTZuq3QYAy0xDtRsAAAAgewJWAKgPr732WkxPT191LU3T2L17d84dFcOaNWvil37pl+LDH/5wtVsBYBkSsAIAABRQuYD11KlTOXUCAFTCZz/72fjlX/7lePrpp+PixYuLrvMHf/AH8f73vz/DzpYmTdP47Aufjcf/9fH43Aufm/O6977jvfGTt/1kvO8d74skSTLt4dprr423ve1tsWKFAZAAXJ2AFQAAoICcYAWA4vqnf/qnuPPOOyNN0yXV+f/bu/cwvcv6TvzvGxJLMiHIYYYRo4hkSGDUehgCWqu1xCYZUAPdxS2uuKj8lrSNtor768/WarW71d26atMStZWqbMW1bAxiAuM20lo8lATx0EgCCYomMZ2BCOSEJvD9/TGJHCQzz8w8hzm8XteV6yHz/T6f71sv8oTMO/d9H3/88Vm2bFlmzpxZp2T1MW/evFz+G5dnYO9ANuzYkI0DG7PvwL7MnD4z3e3d6TmlJ+1t7a2OCcAUpmAFAACYhBSsADA5/exnP8tll1025nI1Sd74xjeOu3L1sdrb2rOka0mWdC1pdRQAeBx7HAAAAExCClYAmJw+85nP5J577hnznFJKli1bVodEADD1KFgBAAAmoVoK1kceeaRJaQCAenj44Yfz/ve/vy6zFi9enNNPP70uswBgqrFFMAAAwCQ0Y8aMzJgxI/v373/S64888kh2796d4447rsnJAGD86N/bP3jGZ//G7D+4PzOmzUh3x+AZnx1tHa2O9ws+//nPZ/PmzXWZ9fa3v70ucwBgKlKwAgAATFInnHBCtm/ffsTru3btUrACMOVUVZW1d63NiltXpG9r3xHvW3T6oixfsDy9Xb0ppTQky4EDB/Ltb387+/btq+n+//bf/ltdnvuf//N/znnnnVeXWQAwFSlYAQAAJqlaCtbTTjutiYkAoLV27tmZZWuWZfWm1cPe27e1L31b+7J0/tKsPH9lOmd11i3Hww8/nCuvvDIf//jHay5XazFz5sz80i/90pNeO/roo3PWWWflDW94Qy677LK6PRMApiIFKwAAwCQ13Dms9913X5OSAEDrbb53c8779HnZvvvIf/noyazetDrrt6/PukvXZd5J8+qS5U1velM+9alP1WXWYUcffXQ2btyYZz3rWXWdCwD8IgUrAADAJDVcwXrzzTfn4YcfblKa5jrppJPyghe8INOm+WMvAIMrV0dTrh62fff2LLxmYdZfvn7MK1m3bduWa665ZkwznszrXvc65SoANIk/aQIAAExSwxWs73//+/P+97+/SWmab9asWfmzP/uz/O7v/m6rowDQQlVV5YovXjHqcvWwbQ9uy7I1y7Lq4lWPO5O1f29/NuzYkI39G7P/4P7MmDYj3R3d6TmlJx1tHb8w54YbbsgjjzwypixPVErJH/zBH9R1JgBwZApWAACASWq4gnWy27NnT5YvX56qqrJ8+fJWxwGgRdbetTbXb76+LrNWb1qdG7fcmCVzl2TtXWuz4tYV6dvad8T7F52+KMsXLE9vV+/PS9mtW7fWJctjXXjhhTnzzDPrPhcAeHJHtToAAAAAjTHVC9bDPvjBD9Z9pRAAE8eKW1fUdd6ff+3Pc9HnLsoF114wZLmaJH1b+3LBtRfkos9dlJ17diZJvv/979c1z7Rp0/Kud72rrjMBgKFZwQoAADBJKVgH3XPPPfnud7+bX/7lX251FACarH9v/7Al6Ejd/IObR/ye1ZtWZ/329Vl36brcfffddctSSskHP/jBPP/5z6/bTABgeApWAACASeo5z3lOqyOMGz/4wQ8UrABT0IYdG1od4ee2796e8z59Xh68+8Eh7zvnnHPylKc8Zch7jj766Jx55pl5wxvekHPOOaeeMQGAGihYAQAAJqmzzz47z3rWs/KDH/yg1VFa7p577ml1BABaYGP/xlZHeJzt/7Y9GaJfPeqoo/LP//zPmT59evNCAQAj5gxWAACASWr69On57Gc/m+OPP77VUVruhz/8YasjANAC+w/ub3WEx7t/6MvPfOYzlasAMAFYwQoAADCJnXPOObnjjjvy0Y9+NN/+9rezf/84+0ZznezYsSPf+c53jnhdwQowNc2YNqPVER7vJ0NfPu2005qTAwAYEwUrAADAJHfyySfn3e9+d6tjNFRfX18WL158xOu2CAaYmro7ulsd4fGGKVif/exnNycHADAmtggGAABgwjv11FOHvG4FK8DU1HNKT6sjPN4wWwRbwQoAE4OCFQAAgAnvGc94xpDXd+7cmYceeqhJaQAYLzraOrLo9EWtjvEoK1gBYFJQsAIAADDhtbW15aSTThrynm3btjUpDQDjyfIFy1sd4VHOYAWASUHBCgAAwKTwzGc+c8jrzmEFmJp6u3qzdP7SVsdIHoktggFgklCwAgAAMCk4hxWAJ1NKycrzV+bpxz69tUF2Z7BkPYKZM2emo6OjaXEAgNFTsAIAADApWMEKwJF0zurMukvXZc7sOa0LUcP2wKWU5mQBAMZEwQoAAMCkYAUrAEOZd9K8rL98feu2Cx6mYH32s5/dnBwAwJgpWAEAAJgUrGAFYDidszqz6uJVWXPJmiyeu7i5D3f+KgBMGtNaHQAAAADqwQpWAGpRSklvV296u3ozsHcgG3ZsyHV3XJerb7+6sQ+2ghUAJg0rWAEAAJgUhlvB+sMf/jCPPPJIk9IAMBG0t7VnSdeSzD9xfuMfVsMZrADAxKBgBQAAYFJob2/PMcccc8TrP/vZz9Lf39/ERABMFPsP7m/4M456YOhvxVrBCgATh4IVAACASaGUUtMqVgB4ohnTZjR0/que/ao88uDQuyg861nPamgGAKB+nMEKAADApHHqqafmzjvvPOL1e+65JwsWLGhiIgAmgvknzE9+nOS+JFX95p52/Gn592f9+zztvqflhtxwxPs6Ojoya9as+j0YAGgoBSsAAACThhWsAIzU7bffnndc8o5kU/1nfz/fz3/Pfx/2PuevAsDEomAFAABg0jj11FOHvH7PPfc0KQkAE8GuXbvS29ubnTt3tjTHcOev9u/tz4YdG7Kxf2P2H9yfGdNmpLujOz2n9KSjraNJKQGAwxSsAAAATBpWsAIwEh/4wAdaXq4mT76CtaqqrL1rbVbcuiJ9W/uO+N5Fpy/K8gXL09vVm1JKI2MCAIcoWAEAAJg0rGAFoFY//elP84lPfKLVMZL84grWnXt2ZtmaZVm9afWw7+3b2pe+rX1ZOn9pVp6/Mp2zOhsVEwA45KhWBwAAAIB6sYIVgFpdd911ue+++1odI0lyzjnn/PyfN9+7OT0f76mpXH2s1ZtWp+fjPdl87+Z6xwMAnsAKVgAAACaNOXPmpJSSqqqe9PquXbvS1tbW5FSPN3v27Jx99tl573vfm+c///ktzQIwla1cubLVEZIkCxYsyHOe85wkgytXz/v0edm+e/uoZm3fvT0Lr1mY9Zevt5IVABpIwQoAAMCk8ZSnPCVPe9rTsmPHjiPes2/fviYmevLn33DDDVm7dm2+/OUv52Uve5QG3xEAACAASURBVFlL8wBMRd/97nfz1a9+tdUx0tXVlc985jNJBs9cveKLV4y6XD1s24PbsmzNsqy6eJUzWQGgQRSsAAAATCqnnnrqkAXrePHwww/nTW96U+68807fAAcmlYGBgXzta1/LT37yk1ZHOaLPf/7zQ16fPn16Lrroovx4949z5647s3P3ziPe23lsZ8444Yw87din1fz8Y489Ni996Uvz6le/Oscff3ySZO1da3P95utrnjGU1ZtW58YtN6a3q7cu8wCAx1OwAgAAMOH17+3Phh0bsrF/Y3Yfs7vVcWq2ZcuWbNmyJV1dXa2OAjBmDz/8cN7xjnfkQx/6UKujjNlFF12Uz372sz//+cDegcHfZwY2Zt+BfZk5fWa627vTc0pP2tva6/LMFbeuqMucx85TsAJAYyhYAQAAmJCqqsrau9Zmxa0r0re179ELj7Qu02jcfffdClZgUnjnO985KcrVJFm2bNnjft7e1p4lXUuypGtJQ57Xv7f/8b+X1cFNW27KwN6BuhXAAMCjjmp1AAAAABipnXt25qLPXZQLrr3gF78h3d2aTKM1MDDQ6ggAY7Z79+589KMfbXWMujjzzDObfj72hh0bJtRcAJjqFKwAAABMKJvv3Zyej/dk9abVT35DR5IXNDXSmChYgcng61//eh588MFWx6iLK664oulnY2/s39iYuQONmQsAU50tggEAAJgwdu7ZmfM+fV62794+9I2vTnJiku8m+bcmBBuD/v7+VkcAGLPvfOc7rY5QFzNmzMill17a9OfuP7i/IXP3HdjXkLkAMNUpWAEAAJgQqqrKFV+8YvhyNUlKkpce+nEgSfX4yxeccUGu/c1rm7JC6WMf+1je/va3H/G6FazAZDBZCtbf//3fz1Of+tSmP3fGtBkNmTtz+syGzAWAqU7BCgAAwISw9q61uX7z9SN/4/Rf/NIXf/DFfOXHX0lvV+/Ygw3j6U9/+pDXrWAFJoPJULD29vbmXe96V0ue3d3RmAPEu9sn2MHkADBBKFgBAACYEFbcuqLu85pRsHZ0dAx53QpWYKI7cOBAvve97w15z2tf+9occ8wxTUo0MieffHJ+9Vd/Neeff37Tz149rOeUngk1FwCmOgUrAAAA417/3v70be2r68ybttyUgb0DaW9rr+vcJ2pvH3q+ghWY6DZt2pQDBw4c8fqsWbPymc98JkcddVQTU00sHW0dWXT6orr+Xrd47uKG/x4HAFOV/6oBAABg3NuwY8OEmvtYwxWstggGJrrhtgd+7nOfq1ytwfIFy8f1PADgUf7LBgAAgHFvY//GxswdaMzcxzrxxBOH3HJy9+7d+elPf9rwHACNMlzB+rznPa9JSSa23q7eLJ2/tC6zLpx/YZbMXVKXWQDAL1KwAgAAMO7tP7i/IXP3HdjXkLmPNW3atJxwwglD3mObYGAiU7DWRyklK89fmacf+/QxzZkze06uOv+qlp0nCwBTgYIVAACAcW/GtBkNmTtz+syGzH2ijo6OIa/bJhiYyBSs9dM5qzPrLl2XObPnjOr9c2bPybpL16VzVmedkwEAj6VgBQAAYNzr7uhuzNz2xsx9ouHOYbWCFZio7r333uzYsWPIe5773Oc2Kc3kMO+keVl/+foRbxe8dP7SrL98fc448YwGJQMADlOwAgAAMO71nNIzoeY+0XAFqxWswET13e9+d8jrp556ao477rgmpZk8Omd1ZtXFq7LmkjVZPHfxkPcunrs4ay5Zk1UXr7JyFQCaZFqrAwAAAMBwOto6suj0Renb2le3mYvnLk5729DFZ70Mt0WwFazARGV74MYppaS3qze9Xb0Z2DuQDTs2ZOPAxuw7sC8zp89Md3t3ek7padrvZQDAoxSsAAAATAjLFyyva8G6fMHyus0aji2CgclKwdoc7W3tWdK1JEu6lrQ6CgAQBSsAAAATRG9Xb5bOX5rVm1aPedaF8y/MkrnN+ya1LYKByWjbtm25+uqrh7xnLAVr/97+wVWb/Ruz/+D+zJg2I90dg6s2O9qG3hkAAKCRFKwAAABMCKWU/Mmv/Um+sPkLeaR6ZNRzji5H5z2/9p6UUuqYbmi2CAYmk61bt+biiy/ON7/5zWHvHWnBWlVV1t61NituXTHkrgWLTl+U5QuWp7ert6mf5wAAiYIVAACACaKqqvzxzX88pnI1SR6uHs67//HdWXXxqqZ9U94WwfVlVRu0zv33359zzjkn991337D3HnPMMZk7d27Ns3fu2Zlla5bVtFNB39a+9G3ty9L5S7Py/JXpnNVZ83MAAMZKwQoAAMCEsPautbl+8/V1mbV60+rcuOXG9Hb11mXecIZbwWqL4OFZ1Qbjw8qVK2sqV5Oku7s706bV9u3HzfduznmfPi/bd28fUZ7Vm1Zn/fb1WXfpusw7ad6I3gsAMFpHtToAAAAA1GLFrSvG9byhWME6Njv37MxFn7soF1x7wZDlajK4qu2Cay/IRZ+7KDv37GxSQpg6Pv/5z9d8b63bA+/cs3NU5eph23dvz8JrFvo1DwA0jYIVAACAca9/b/+wxdpI3bTlpgzsbU6xeeKJJw65mnL37t156KGHmpJlotl87+b0fLynpi1DH2v1ptXp+XhPNt+7uUHJYOrZv39/br/99prvP/fcc4e9p6qqXPHFK0Zdrh627cFtWbZmWaqqGtMcAIBa2CIYAACAcW/Djg0NmfsPd/9DjjvmuIaf5Xn00UfnxBNPzL333nvEewYGBvKMZzyjbs+cDOq1qm395eudzwh1cNttt+XgwYM13Tt79uz81m/91rD3TeTt3wGAqUvBCgAAwLi3sX9jQ+ZesuqSI16r91me7e3tCtYRqPeqtlUXr3ImK4zR17/+9Zrua2tryzXXXJNjjz122Hsbsf27ghUAaDRbBAMAADDu7T+4v+nPrPdZnh0dQ6+I7e/vH/MzJpNGrGoDxqaWgvV973tfNmzYkFe/+tXD3jvRt38HAKYuBSsAAADj3oxpM1r27Hqd5dne3j7k9YEBhcBjNWJVGzB6VVUNW7DecMMN+aM/+qPMnz+/ppmN2v69UXMBAA5TsAIAADDudXd0t/T5h8/yHMtK1uEKVitYH2VVG4w/99xzT3buHPoz8Nxzzx3RzEZt/75xoDFzAQAOU7ACAAAw7vWc0tPqCD8/y7OqqlG9f7gtgq1gfZRVbTD+DLd6taurKyeddNKIZjZq+/d9B/Y1ZC4AwGEKVgAAAMa9jraOLDp9UatjjOksT1sE186qNhh/hitYX/ziF494ZqO2f585fWZD5gIAHKZgBQAAYEJYvmB5qyMkGf1ZnrYIrp1VbTD+NKJgbdT2793trd1WHgCY/BSsAAAATAi9Xb1ZOn9pq2OM+ixPWwTXzqo2GF/279+fb33rW0PeM5qCtVHbv4+HbeUBgMltWqsDAAAAQC1KKVl5/sqs374+23dvb2mWDTs2ZEnXkhG9xxbBtbOqjalkz549ue666/KNb3wjDzzwQKvjPKkHHnggBw8ePOL1tra2dHeP/NfX4e3f+7b2jSXe4yyeuzjtbUN/3gIAjJWCFQAAgAmjc1Zn1l26LguvWZhtD25rWY6NAxtHXLAOt4LVFsGPsqqNqeLuu+/Oq1/96mzcOLHPB16wYEGmTRv8NmP/3v5s2LEhG/s3Zv/B/ZkxbUa6O7rTc0pPOtp+8XNw+YLldS1Yx8t28gDA5KZgBQAAYEKZd9K8rL98fZatWZbVm1a3JMNozvI84YQTUkpJVVVPen3Pnj3Zv39/ZsxozPa4E4lVbUwVy5Ytm/DlapKce+65WXPnmqy4dcWQv24Xnb4oyxcsT29Xb0opSR7d/r0en+cXzr8wS+aO7C+/AACMhoIVAACACadzVmdWXbwqN265MStuXZGbttzU1OeP5izPo48+OieeeGLuvffeI97z4x//OM94xjPGEm3cmjZt2s8LlVpY1cZkd8cdd+RLX/pSq2PUxc0Hb86fXftnw97Xt7UvfVv7snT+0qw8f2U6Z3XWbfv3ObPn5KrzrxrR5wwAwGgpWAEAAJiQSinp7epNb1dvBvYODG5JObAx+w7sy8zpM9Pd3p37H7o/l6y6pO7PHu1Znh0dHUMWrKeffvpoI417J5xwQn71V381H/zgB2v632lVG5PdP/3TP7U6Qt18I98Y0f2rN63O+u3rs+7SdZl30rwxb/8+Z/acrLt0XTpndY74vQAAo6FgBQAAYMJrb2vPkq4lv3Auav/expxrOtqzPNvbp+4Wtbt27cr111+fdevW5Vvf+tawJatVbUx23/jGyErJcWtOkraRv2377u1ZeM3CrL98fTpndY56+/fHroYFAGiWo1odAAAAABrl8Fme9TSWszyncsF62J49e/Lbv/3bNd17eFXbnNlzRvUsq9oYzyZNwfqy0b9124PbsmzNsp+fTX14+/c1l6zJ4rmLh3zv4rmLs+aSNVl18Sq/xgGAprOCFQAAgEltPJ3l2dHRUbccE9mXvvSl3HHHHTnzzDOHvdeqNiajn/zkJ9m8eXOrY4zN9CSvTnLG2Mas3rQ6N265Mb1dvUlq2/6955SeUf9FFwCAelCwAgAAMKmNp7M8TzvttDFnmCw++tGP5iMf+UhN9x5e1Xbjlhuz4tYVuWnLTUe8d/HcxVm+YHmWzF1iW+Bh9O/tHyyv+jdm/8H9mTFtRro7BsurjjZ/GaCRbr311iGvn3TSSfmLv/iLJqUZuQ9/78O5tbp1sGStgxW3rvh5wfpYR9r+HQCg1crhLTioTSnlthe+8IUvvO2221odBQAAgBrt3LMzPR/vGfNZnofPChyt7373u3ne85436vdPJscdd1y2b9+etraRH95oVdvoVVWVtXetzYpbVwy5snvR6YuyfMHy9Hb1Kqob4L3vfW/e/e53H/H6q171qnzhC19oYqLa9e/tz8l/fnL9517Z79cvANBwL3rRi/LNb37zm1VVvWgsc5zBCgAAwKQ3Xs7yfO5zn5u3v/3tY5oxWTzwwAP57Gc/O6r3Hl7VduVLrswfv/yPc+VLrsySriXKmWHs3LMzF33uolxw7QXDbpvdt7UvF1x7QS763EXZuWdnkxJOHcOdv3ruuec2KcnIbdixYULNBQBoBFsEAwAAMCWMl7M8/8f/+B/p7u7OX/3VX+V73/teDhw4UJe549HBgweHvL5y5cq85jWvaVKaI5s9e3ae8pSntDpGQ22+d3PO+/R5I17FvXrT6qzfvj7rLl2XeSfNa1C6qaWqqvzLv/zLkPecc845TUozchv7NzZm7sBGWwEDABOGghUAAIApYzyc5VlKyWWXXZbLLrusbjPHqw996EN529vedsTrt912W9rbW7/qdPr06TnnnHPy4Q9/OC960Zh2ChuXdu7ZOapy9bDtu7dn4TULx7xFNoO2bNmSXbt2HfF6KSVnn312ExONzP6D+xsyd9+BfQ2ZCwDQCApWAAAAppRSSnq7etPb1esszwZ7wxvekHe+85156KGHWh1lSAcOHMgtt9ySF7/4xfmXf/mXvOAFL2h1pLqpqipXfPGKMZ0/nCTbHtyWZWuWZdXFq5zJOkbDrV4966yzMnv27CalGbkZ02Y0ZO7M6TMbMhcAoBEUrAAAAExZh8/ytC1lY5xwwgl57Wtfm0996lOtjlKTAwcO5M1vfnM2bNgwaUrEtXetzfWbr6/LrNWbVufGLTemt6u3LvOmqol8/mqSdHd0N2Zue2PmAgA0goIVAAAAaJhly5ZNmII1Sb75zW/mH//xH/OKV7yi1VHqYsWtK+o+b6IUrHfffXeuv/763H777ePqrOObb755yOvj+fzVJOk5pWdCzQUAaAQFKwAAANAwCxYsyAte8ILcfvvtrY5Ssw996EOTomDt39ufvq19dZ1505abMrB3YNxvof2FL3whr3vd67Jnz55WRxmx8b6CtaOtI4tOX1TXf7cWz1087v+dAgB4rKNaHQAAAACYvEopefvb397qGCNyww035M4772x1jDHbsGPDhJpbL7t27Zqw5eqsWbNy1llntTrGsJYvWD6u5wEANJqCFQAAAGioSy65JEuXLm11jBH5yEc+0uoIY7axf2Nj5g40Zm69fOITn5iQ5WqSnH322Tn66KNbHWNYvV29WTq/Pr+mL5x/YZbMdQ42ADCx2CIYAAAAaKhSSq677rr85V/+Zf7+7/8+d955Zx555JGWZtq7d28eeuihI16/+uqrs2XLlsd97bTTTsurXvWqnH/++Y2OVxf7D+5vyNx9B/Y1ZG69fPnLX251hFEb79sDH1ZKycrzV2b99vXZvnv7qOfMmT0nV51/VUopdUwHANB4ClYAAACg4Y4++ui89a1vzVvf+tZWR0mS3HTTTVmy5Mir5h566KF86Utf+oWvf+xjH8ub3vSm/PVf//W4L4VmTJvRkLkzp89syNx6eOSRR/L1r3+91TFG7YILLmh1hJp1zurMukvXZeE1C7PtwW0jfv+c2XOy7tJ16ZzV2YB0AACNZYtgAAAAYMpZtGhRzjzzzFG99xOf+ET+7u/+rs6J6q+7o7sxc9sbM7ceNm7cmAceeKDVMUbl5S9/eV7ykpe0OsaIzDtpXtZfvn7E2wUvnb806y9fnzNOPKNByQAAGkvBCgAAAEw5pZT83u/93qjf/773va/l2xwPp+eUngk1tx6++tWvtjrCqJx//vlZvXp1q2OMSueszqy6eFXWXLImi+cuHvLexXMXZ80la7Lq4lVWrgIAE5otggEAAIAp6fWvf33e+c535r777hvxe++888709fUNuc1wq3W0dWTR6YvSt7WvbjMXz12c9rb2us2rt+EK1gsuuCCXXHJJzfPuf+j+/OG6P8xPHvrJqDOdMOOE/Omv/2meesxTf+HaMccck7PPPjtz5swZ9fzxoJSS3q7e9Hb1ZmDvQDbs2JCNAxuz78C+zJw+M93t3ek5pWdc/7sDADASClYAAABgSpoxY0aWLVuWP/3TPx3V+z/ykY+M64I1SZYvWF7XgnX5guV1m9UIwxWsl1xySX7rt36rpllVVeXC/31hftI1+nI1SXZlV74080tZdfGqcX9ubz20t7VnSdeSLOka3782AADGwhbBAAAAwJT1X/7Lf8lpp502qvf29fXljjvuqHOi+urt6h3x+ZhHcuH8C7Nk7vgtzX784x/n+9///pD3/Mqv/ErN89betTbXb75+rLGSJKs3rc6NW26syywAAFrPClYAAABgyjr22GNz00035bLLLsvXvva1Eb//fe97X5YtW9aAZPXzhqe+IbcM3JJ799076hntbe259KmX5pZbbqljskcdddRROf3003PyySePepXncKtX58yZk2c+85k1z1tx64pR5RhqXm9Xb11nAgDQGgpWAAAAYEo744wzcsstt+RHP/pRNm/enEceeeTn1z7wgQ/k5ptvPuJ7r7322lx77bXNiNlSAxnIhX95YcOf88pXvjJXXXVV5s6dO+L3DlewjmT1av/e/rpurZwkN225KQN7B5xDCgAwCShYAQAAgCmvlJJnPvOZv7DC8aijjhqyYKW+/u///b85++yz8/d///dZuHDhiN5bz4J1w44NI3r2SOY6mxQAYOJTsAIAAAAcwcKFC3PWWWfle9/7XqujTBn3339/XvnKV+akk07Km970ppreU1VVbr/99iHvGUnBurF/Y833jsR137suLzrlRelo62jIfAAAmkPBCgAAAHAEpZS85S1vyRVXXNHqKFPOvffemw984AN1mdXW1pbnPe95Nd+//+D+ujz3ia7+1tW5+ltXZ9Hpi7J8wfL0dvWO+sxZAABa56hWBwAAAAAYz17/+tfn+OOPb3UMxuDcc8/NtGm1rzOYMW1GA9MkfVv7csG1F+Siz12UnXt2NvRZAADUn4IVAAAAYAgzZ87MlVde2eoYjMFItgdOku6O7gYlebzVm1an5+M92Xzv5qY8DwCA+lCwAgAAAAzjHe94RxYuXNjqGIzSSAvWnlN6GpTkF23fvT0Lr1loJSsAwATiDFYAAACAYUyfPj19fX355Cc/mX/4h3/Ij370o1ZHmhT+9V//Nffff39Dn3HsscfmxS9+8Yje09HWkUWnL0rf1r4GpXq8bQ9uy7I1y7Lq4lXOZAUAmAAUrAAAAAA1OOqoo/LGN74xb3zjG1sdZVLZvn17XvOa1+S2225ryPzf+Z3fybHHHjvi9y1fsLxpBWsyuF3wjVtuTG9Xb9OeCQDA6NgiGAAAAICWefrTn56vfOUrDSmuL7/88rznPe8Z1Xt7u3qzdP7S+gYaxopbVzT1eQAAjI4VrAAAAAC01MyZM/OJT3wib3vb2/LVr341u3btGtO8E088MS95yUvS3d096hmllKw8f2XWb1+f7bu3jylPrW7aclMG9g6kva29Kc8DAGB0FKwAAAAAjAvd3d1jKkXrrXNWZ9Zdui4Lr1mYbQ9ua8ozN+zYkCVdS5ryLAAARscWwQAAAABwBPNOmpf1l69v2nbBGwc2NuU5AACMnoIVAAAAAIbQOaszqy5elTWXrMniuYsb+qx9B/Y1dD4AAGOnYAUAAACAYZRS0tvVmxtfd2P6r+zPG5//xoY8Z+b0mQ2ZCwBA/ShYAQAAAGAE2tva85tn/WZDZne3j58zaAEAeHIKVgAAAAAYoZ5TeibUXAAA6kfBCgAAAAAj1NHWkUWnL6rrzMVzF6e9rb2uMwEAqD8FKwAAAACMwvIFy8f1PAAAGqPlBWspZXop5a2llL8tpXyrlPKzUkpVSnnzGGa+pJSytpSyq5Syv5TynVLK75VSjq5ndgAAAACmrt6u3iydv7Qusy6cf2GWzF1Sl1kAADRWywvWJG1JPpzkPyXpTLJzLMNKKa9J8pUkL0vy+SR/meQpST6U5LNjmQ0AAAAAh5VSsvL8lXn6sU8f05w5s+fkqvOvSimlTskAAGik8VCw7kvSm+SUqqo6k1w92kGllNlJ/jrJw0l+raqqN1VV9Y4kz0/y9ST/rpTyH+qQGQAAAADSOasz6y5dlzmz54zq/XNmz8m6S9elc1ZnnZMBANAoLS9Yq6r6WVVVN1ZV9eM6jPt3SdqTfLaqqg2PecZDSf7o0E+X1eE5AAAAAJAkmXfSvKy/fP2ItwteOn9p1l++PmeceEaDkgEA0AgtL1jr7NcPvd70JNe+ksHVsi8ppfxS8yIBAAAAMNl1zurMqotXZc0la7J47uIh7108d3HWXLImqy5eZeUqAMAENK3VAeps3qHXO594oaqqg6WU7yfpTvLsJHc0MxgAAAAAk1spJb1dvent6s3A3oFs2LEhGwc2Zt+BfZk5fWa627vTc0pP2tvaWx0VAIAxmGwF63GHXh84wvXDX3/qcINKKbcd4dL8kYYCAAAAYGppb2vPkq4lWdK1pNVRAACos7psEVxK+UEppRrBj/9Vj+cCAAAAAAAANFO9VrBuTfLQCO7fUafnPtHhFarHHeH64a/fP9ygqqpe9GRfP7Sy9YUjjwYAAAAAAABMdHUpWKuqOq8ec+pgc5KeJGckedwWv6WUaUlOS3Iwyd3NjwYAAAAAAABMdJPtDNYvJ3ldksVJrn3CtZclmZnkK1VV/bTZwQAAAIDxqX9vfzbs2JCN/Ruz/+D+zJg2I90d3ek5pScdbR2tjgcAAIwzE7JgLaUcl+RpSR6oqurHj7l0XZIPJPkPpZQVVVVtOHT/MUn+9NA9K5saFgAAABh3qqrK2rvWZsWtK9K3te+I9y06fVGWL1ie3q7elFKamBAAABivxkXBWkr5gyTzD/30+YdeLyulvPTQP99SVdXfPOYtFyb52ySfSvKfDn+xqqoHSymXZ7Bo/cdSymeT7Ery6iTzDn39fzfqfwcAAAAw/u3cszPL1izL6k2rh723b2tf+rb2Zen8pVl5/sp0zupsQkIAAGA8GxcFawa39H35E772kkM/Dvub1KCqqtWllJcn+cMkv5nkmCRbkrwtyV9UVVWNPS4AAAAwEW2+d3PO+/R52b57+4jet3rT6qzfvj7rLl2XeSfNa1A6AABgIhgXBWtVVb82wvs/meSTQ1z/apLeMYUCAAAAJpWde3aOqlw9bPvu7Vl4zcKsv3y9lawAADCFHdXqAAAAAACNVlVVrvjiFaMuVw/b9uC2LFuzLDbIAgCAqUvBCgAAAEx6a+9am+s3X1+XWas3rc6NW26syywAAGDiUbACAAAAk96KW1eM63kAAMDEoWAFAAAAJrX+vf3p29pX15k3bbkpA3sH6joTAACYGBSsAAAAwKS2YceGCTUXAAAY3xSsAAAAwKS2sX9jY+YONGYuAAAwvilYAQAAgElt/8H9DZm778C+hswFAADGNwUrAAAAMKnNmDajIXNnTp/ZkLkAAMD4pmAFAAAAJrXuju7GzG1vzFwAAGB8U7ACAAAAk1rPKT0Tai4AADC+KVgBAACASa2jrSOLTl9U15mL5y5Oe1t7XWcCAAATg4IVAAAAmPSWL1g+rucBAAATh4IVAAAAmPR6u3qzdP7Susy6cP6FWTJ3SV1mAQAAE4+CFQAAAJj0SilZef7KPP3Yp49pzpzZc3LV+VellFKnZAAAwESjYAUAAACmhM5ZnVl36brMmT1nVO+fM3tO1l26Lp2zOuucDAAAmEgUrAAAAMCUMe+keVl/+foRbxe8dP7SrL98fc448YwGJQMAACYKBSsAAAAwpXTO6syqi1dlzSVrsnju4iHvXTx3cdZcsiarLl5l5SoAAJAkmdbqAAAAAADNVkpJb1dvert6M7B3IBt2bMjGgY3Zd2BfZk6fme727vSc0pP2tvZWRwUAAMYZBSsAAAAwpbW3tWdJ15Is6VrS6igAAMAEYItgAAAAAAAAgBopWAEAAAAAAABqpGAFAAAAAAAAqJGCFQAAAAAAAKBGClYAAAAAAACAGilYAQAAAAAAAGqkYAUAAAAAAACokYIVAAAAAAAAoEYKVgAAAAAAAIAaw+tPYAAACTFJREFUKVgBAAAAAAAAaqRgBQAAAAAAAKiRghUAAAAAAACgRgpWAAAAAAAAgBopWAEAAAAAAABqpGAFAAAAAAAAqJGCFQAAAAAAAKBGClYAAAAAAACAGilYAQAAAAAAAGqkYAUAAAAAAACokYIVAAAAAAAAoEYKVgAAAAAAAIAaKVgBAAAAAAAAaqRgBQAAAAAAAKiRghUAAAAAAACgRgpWAAAAAAAAgBopWAEAAAAAAABqpGAFAAAAAAAAqJGCFQAAAAAAAKBGClYAAAAAAACAGilYAQAAAAAAAGqkYAUAAAAAAACokYIVAAAAAAAAoEYKVgAAAAAAAIAaKVgBAAAAAAAAaqRgBQAAAAAAAKiRghUAAAAAAACgRgpWAAAAAAAAgBopWAEAAAAAAABqpGAFAAAAAAAAqJGCFQAAAAAAAKBGpaqqVmeYUEop982YMeOEM888s9VRAAAAAAAAgBrdcccd2b9//66qqk4cyxwF6wiVUr6fZHaSH7Q4ykQ2/9DrppamABgffCYCDPJ5CPAon4kAj/KZCDDI52F9PCvJg1VVnTaWIQpWmq6UcluSVFX1olZnAWg1n4kAg3weAjzKZyLAo3wmAgzyeTi+OIMVAAAAAAAAoEYKVgAAAAAAAIAaKVgBAAAAAAAAaqRgBQAAAAAAAKiRghUAAAAAAACgRqWqqlZnAAAAAAAAAJgQrGAFAAAAAAAAqJGCFQAAAAAAAKBGClYAAAAAAACAGilYAQAAAAAAAGqkYAUAAAAAAACokYIVAAAAAAAAoEYKVgAAAAAAAIAaKVhpmlLKnFLK1aWUHaWUn5ZSflBK+XAp5fhWZwNoplLKvyulrCil/HMp5cFSSlVK+V+tzgXQbKWUE0spby6lfL6UsqWUsr+U8kAp5ZZSyptKKf68AkwZpZQPlFLWlVJ+dOjzcFcp5fZSyrtLKSe2Oh9AK5VS/uOhPztXpZQ3tzoPQDMd6lKqI/zY2ep8U1WpqqrVGZgCSimnJ/lako4k1yfZlGRBklck2ZzkV6qquq91CQGap5TyrSS/nGRPkm1J5if5u6qq/mNLgwE0WSnliiQrk/w4yc1Jfpjk5CQXJTkuyf9J8u8rf2gBpoBSys+SfDPJ95L0J2lLcm6SniQ7kpxbVdWPWpcQoDVKKc9I8t0kRyeZleTyqqr+prWpAJqnlPKDJE9N8uEnubynqqo/b24ikmRaqwMwZVyVwXL1LVVVrTj8xVLK/0zy+0n+a5IrWpQNoNl+P4PF6pYkL89gqQAwFd2Z5NVJ1lRV9cjhL5ZS3pnk1iS/mcGy9f+0Jh5AU82uquqhJ36xlPJfk7wzyf+X5LebngqghUopJcnfJrkvyaokV7Y2EUDL3F9V1XtaHYJH2XKLhju0evU3kvwgyV894fK7k+xN8vpSSluTowG0RFVVN1dVdZcVWcBUV1XVl6uquuGx5eqhr+9M8tFDP/21pgcDaIEnK1cP+dyh165mZQEYR96S5NeTXJbB7yECwLigYKUZXnHo9UtP8s2z3Um+mmRmBrc+AgCAJDlw6PVgS1MAtN6rDr1+p6UpAJqslHJmkvcn+UhVVV9pdR6AFvulQ+dRv7OU8tZSyitKKUe3OtRUZotgmmHeodc7j3D9rgyucD0jybqmJAIAYNwqpUxLcumhn97UyiwAzVZKuTKDZwwel8HzV1+awXL1/a3MBdBMh/578JokP8zgNukAU11nBj8XH+v7pZTLqqr6p1YEmuoUrDTDcYdeHzjC9cNff2oTsgAAMP69P8lzkqytqqqv1WEAmuzKJCc/5uc3JflPVVUNtCgPQCv8cZIXJHlpVVX7Wx0GoMX+Nsk/J9mYZHeSZyf53ST/T5IbSykvrqrq2y3MNyXZIhgAABg3SilvSfL2JJuSvL7FcQCarqqqzqqqSgZXKVyUwW+g3V5KeWFrkwE0RynlnAyuWv1gVVVfb3UegFarqupPqqr6clVV/1ZV1b6qqv61qqorkvzPJDOSvKe1CacmBSvNcHiF6nFHuH746/c3IQsAAONUKeV3k3wkyfeSvKKqql0tjgTQMoe+gfb5DB6pc2KST7c4EkDDHdoa+NMZPGrsXS2OAzDeffTQ68tammKKUrDSDJsPvZ5xhOtdh16PdEYrAACTXCnl95KsSPKvGSxXd7Y4EsC4UFXVPRn8iyfdpZSTWp0HoMFmZfB7iGcmeaiUUh3+keTdh+7560Nf+3DLUgKMD4ePkGhraYopyhmsNMPNh15/o5RyVFVVjxy+UEo5NsmvJNmX5ButCAcAQGuVUv7fDJ67+q0kr6yq6t4WRwIYb0459PpwS1MANN5Pk3ziCNdemMFzWW/J4IIO2wcDU925h17vbmmKKUrBSsNVVbW1lPKlDG5r9DsZXJlw2J9k8G9XfKyqqr2tyAcAQOuUUt6V5L1JbkvyG7YFBqaiUsoZSf6tqqoHnvD1o5K8L0lHkq9VVfWTVuQDaJaqqvYnefOTXSulvCeDBeunqqr6m2bmAmiVUsqZSX74xP6klPKsJH956Kf/q8mxiIKV5vntJF9L8hellPOS3JHknCSvyODWwH/YwmwATVVKWZpk6aGfdh56fXEp5ZOH/vneqqqubHowgCYrpbwhg+Xqw0n+OclbSilPvO0HVVV9ssnRAJqtN8mflVJuSfL9JPclOTnJy5M8O8nOJJe3Lh4AAC3y2iRvL6V8Jck9SXYnOT3J+UmOSbI2yZ+3Lt7UpWClKQ6tYu3J4DfQFmfwD48/TvKRJH/ib+ECU8zzk7zhCV979qEfyeB/LClYgangtEOvRyf5vSPc809JPtmUNACt8w9J5iZ5aQZXZz01yd4M/oXka5L8hRX+AABT0s1J5mXwvxF/JYM7gt6fwe3Sr0lyTVVVVeviTV3F/+8AAAAAAAAAtTmq1QEAAAAAAAAAJgoFKwAAAAAAAECNFKwAAAAAAAAANVKwAgAAAAAAANRIwQoAAAAAAABQIwUrAAAAAAAAQI0UrAAAAAAAAAA1UrACAAAAAAAA1EjBCgAAAAAAAFAjBSsAAAAAAABAjRSsAAAAAAAAADVSsAIAAAAAAADUSMEKAAAAAAAAUCMFKwAAAAAAAECNFKwAAAAAAAAANVKwAgAAAAAAANRIwQoAAAAAAABQo/8f24ppjTOYnDUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 590.0,
       "width": 940.0
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画出拟合曲线\n",
    "plt.figure(figsize=(16, 10))\n",
    "plt.scatter(X, y, c='g', label='data', s=100)         # 画出训练样本\n",
    "plt.plot(T, y_pred, c='k', label='prediction', lw=4)  # 画出拟合曲线\n",
    "plt.axis('tight')\n",
    "plt.title(\"KNeighborsRegressor (k = %i)\" % k)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
